Reduce and Expand Simple Fractions: Converting from decimal fractions

Examples with solutions for Reduce and Expand Simple Fractions: Converting from decimal fractions

Exercise #1

Write the following decimal fraction as a simple fraction and simplify:

0.8 0.8

Video Solution

Step-by-Step Solution

Since there is one digit after the decimal point, we divide 8 by 10:

810 \frac{8}{10}

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 2, so:

8:210:2=45 \frac{8:2}{10:2}=\frac{4}{5}

Answer

45 \frac{4}{5}

Exercise #2

Write the following decimal fraction as a simple fraction and simplify:

0.58 0.58

Video Solution

Step-by-Step Solution

Since there are two digits after the decimal point, we divide 58 by 100:

58100 \frac{58}{100}

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 2, so:

58:2100:2=2950 \frac{58:2}{100:2}=\frac{29}{50}

Answer

2950 \frac{29}{50}

Exercise #3

Write the following decimal as a fraction and simplify:

0.75 0.75

Video Solution

Step-by-Step Solution

Since there are two digits after the decimal point, we divide 75 by 100:

75100 \frac{75}{100}

Now let's find the highest number that divides both the numerator and denominator.

In this case, the number is 25, so:

75:25100:25=34 \frac{75:25}{100:25}=\frac{3}{4}

Answer

34 \frac{3}{4}