Examples with solutions for Converting Decimal Fractions to Simple Fractions and Mixed Numbers: Convert a fraction with a denominator greater than 100 to a decimal

Exercise #1

61000= \frac{6}{1000}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction:

6.0 6.0

Since the fraction divides by 1000, we move the decimal point three places to the left:

.0060 .0060

We fill in the zero before the decimal point and get:

0.0060=0.006 0.0060=0.006

Answer

0.006

Exercise #2

12300= \frac{12}{300}=

Video Solution

Step-by-Step Solution

We will divide both the numerator and denominator by 3 to get 100 in the denominator:

12:3300:3=4100 \frac{12:3}{300:3}=\frac{4}{100}

Now we'll write the simple fraction as a decimal fraction:

4.0 4.0

Since the fraction divides by 100, we'll move the decimal point two places to the left:

.040 .040

Now we'll add the zero before the decimal point and get:

0.040=0.04 0.040=0.04

Answer

0.04

Exercise #3

111000= \frac{11}{1000}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction:

11.0 11.0

Since the fraction is divided by 1000, we move the decimal point three times to the left:

.0110 .0110

Now let's add the zero before the decimal point and we get:

0.0110=0.011 0.0110=0.011

Answer

0.011

Exercise #4

3001000= \frac{300}{1000}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction:

300.0 300.0

Since the fraction is divided by 1000, we move the decimal point three places to the left:

.3000 .3000

Now let's add the zero before the decimal point and we get:

0.3000=0.3 0.3000=0.3

Answer

0.3

Exercise #5

6500= \frac{6}{500}=

Video Solution

Step-by-Step Solution

Let's multiply both the numerator and denominator by 2 to get 1000 in the denominator:

6×2500×2=121000 \frac{6\times2}{500\times2}=\frac{12}{1000}

Now let's write the simple fraction as a decimal fraction:

12.0 12.0

Since the fraction divides by 1000, we'll move the decimal point three places to the left:

.0120 .0120

Now let's add the zero before the decimal point and we get:

0.0120=0.012 0.0120=0.012

Answer

0.012

Exercise #6

331000= \frac{33}{1000}=

Video Solution

Step-by-Step Solution

Let's write the simple fraction as a decimal fraction:

33.0 33.0

Since the fraction is divided by 1000, we move the decimal point three places to the left:

.0330 .0330

Now let's add the zero before the decimal point and we get:

0.0330=0.033 0.0330=0.033

Answer

0.033

Exercise #7

0.171= 0.171=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Remember:

One number after the decimal point represents tenths

Two numbers after the decimal point represent hundredths

Three numbers after the decimal point represent thousandths

And so on

In this case there are three numbers after the decimal point so the number is divided by 1000

Write the fraction in the following way:

01711000 \frac{0171}{1000}

We will remove the extra zeros and get:

1711000 \frac{171}{1000}

Answer

1711000 \frac{171}{1000}

Exercise #8

0.031

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00311000 \frac{0031}{1000}

We'll remove the unnecessary zeros and get:

311000 \frac{31}{1000}

Answer

311000 \frac{31}{1000}

Exercise #9

0.079= 0.079=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00791000 \frac{0079}{1000}

We'll remove the unnecessary zeros and get:

791000 \frac{79}{1000}

Answer

791000 \frac{79}{1000}

Exercise #10

0.05= 0.05=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are two numbers after the zero, so the number is divided by 100

Let's write the fraction in the following way:

005100 \frac{005}{100}

Let's remove the unnecessary zeros and we get:

5100 \frac{5}{100}

Let's multiply both numerator and denominator by 4 and we get:

5×4100×4=20400 \frac{5\times4}{100\times4}=\frac{20}{400}

Answer

20400 \frac{20}{400}

Exercise #11

0.041= 0.041=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00411000 \frac{0041}{1000}

We'll remove the unnecessary zeros and get:

411000 \frac{41}{1000}

Answer

411000 \frac{41}{1000}

Exercise #12

0.013= 0.013=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00131000 \frac{0013}{1000}

We'll remove the unnecessary zeros and get:

131000 \frac{13}{1000}

Answer

131000 \frac{13}{1000}

Exercise #13

0.021= 0.021=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00211000 \frac{0021}{1000}

We'll remove the unnecessary zeros and get:

211000 \frac{21}{1000}

Answer

211000 \frac{21}{1000}

Exercise #14

0.019= 0.019=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00191000 \frac{0019}{1000}

We'll remove the unnecessary zeros and get:

191000 \frac{19}{1000}

Answer

191000 \frac{19}{1000}

Exercise #15

0.012= 0.012=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00121000 \frac{0012}{1000}

We'll remove the unnecessary zeros and get:

121000 \frac{12}{1000}

Answer

121000 \frac{12}{1000}

Exercise #16

12200= \frac{12}{200}=

Video Solution

Step-by-Step Solution

Let's divide both the numerator and denominator by 2 to get 100 in the denominator:

12:2200:2=6100 \frac{12:2}{200:2}=\frac{6}{100}

Now let's write the simple fraction as a decimal fraction:

6.0 6.0

Since the fraction divides by 100, we move the decimal point two places to the left:

.060 .060

Now let's add the zero before the decimal point and we get:

0.060=0.06 0.060=0.06

Answer

0.06

Exercise #17

0.025= 0.025=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00251000 \frac{0025}{1000}

We'll remove the unnecessary zeros and get:

251000 \frac{25}{1000}

Answer

251000 \frac{25}{1000}

Exercise #18

0.089= 0.089=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

00891000 \frac{0089}{1000}

We'll remove the unnecessary zeros and get:

891000 \frac{89}{1000}

Answer

891000 \frac{89}{1000}

Exercise #19

0.901= 0.901=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

09011000 \frac{0901}{1000}

We'll remove the unnecessary zeros and get:

9011000 \frac{901}{1000}

Answer

9011000 \frac{901}{1000}

Exercise #20

0.681= 0.681=

Video Solution

Step-by-Step Solution

Let's pay attention to where the decimal point is located in the number.

Let's remember:

One number after the zero represents tens

Two numbers after the zero represent hundreds

Three numbers after the zero represent thousands

And so on

In this case, there are three numbers after the zero, so the number is divided by 1000

Let's write the fraction in the following way:

06811000 \frac{0681}{1000}

We'll remove the unnecessary zeros and get:

6811000 \frac{681}{1000}

Answer

6811000 \frac{681}{1000}