Reduce and Expand Simple Fractions: Reduce to

Examples with solutions for Reduce and Expand Simple Fractions: Reduce to

Exercise #1

Simplify the given fraction to the denominator 9:

1218= \frac{12}{18}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 18, gives us a result of 9

Therefore:

12:218:2=69 \frac{12:2}{18:2}=\frac{6}{9}

Answer

69 \frac{6}{9}

Exercise #2

Simplify the following fraction:

624= \frac{6}{24}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 24, gives us a result of 4

Therefore:

6:624:6=14 \frac{6:6}{24:6}=\frac{1}{4}

Answer

14 \frac{1}{4}

Exercise #3

Simplify the given fraction to the denominator 12:

624= \frac{6}{24}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 24, gives us a result of 12

Therefore:

6:224:2=312 \frac{6:2}{24:2}=\frac{3}{12}

Answer

312 \frac{3}{12}

Exercise #4

Simplify the given fraction to the denominator 10:

550= \frac{5}{50}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 50, gives us a result of 10

Therefore:

5:550:5=110 \frac{5:5}{50:5}=\frac{1}{10}

Answer

110 \frac{1}{10}

Exercise #5

Simplify the following fraction and specify the simplification factor:

1636= \frac{16}{36}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 36, gives us a result of 18

Therefore:

16:236:2=818 \frac{16:2}{36:2}=\frac{8}{18}

Answer

818 \frac{8}{18} , factor of 2

Exercise #6

Simplify the fraction below and specify the highest common factor:

1836= ? \frac{18}{36}=\text{ ?}

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 36, gives us a result of 12.

Therefore:

18:336:3=612 \frac{18:3}{36:3}=\frac{6}{12}

Answer

612 \frac{6}{12} , 3

Exercise #7

Simplify the following fraction and specify the simplification factor:

2050= \frac{20}{50}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 50, gives us a result of 10

Therefore:

20:550:5=410 \frac{20:5}{50:5}=\frac{4}{10}

Answer

410 \frac{4}{10} , factor of 5

Exercise #8

Simplify the fraction below and specify the highest common factor:

2050= \frac{20}{50}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction, we'll try to find a number that when divided by 50 gives us a result of 5

Therefore:

20:1050:10=25 \frac{20:10}{50:10}=\frac{2}{5}

Answer

25 \frac{2}{5} , 10

Exercise #9

Simplify the fraction below and specify the highest common factor:

2050= \frac{20}{50}=

Video Solution

Step-by-Step Solution

First look at the denominator of the fraction. We must try to find a number that, when divided by 50, gives us a result of 25.

Therefore:

20:250:2=1025 \frac{20:2}{50:2}=\frac{10}{25}

Answer

1025 \frac{10}{25} , 2

Exercise #10

Simplify the fraction below and specify the simplification factor:

2040= \frac{20}{40}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 40, gives us a result of 10.

Therefore:

20:440:4=510 \frac{20:4}{40:4}=\frac{5}{10}

Answer

510 \frac{5}{10} , factor of 4

Exercise #11

Simplify the given fraction:

816= \frac{8}{16}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 16, gives us a result of 4

Therefore:

8:416:4=24 \frac{8:4}{16:4}=\frac{2}{4}

Answer

24 \frac{2}{4}

Exercise #12

Simplify the given fraction to the denominator 2:

816= \frac{8}{16}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 16, gives us a result of 2

Therefore:

8:816:8=12 \frac{8:8}{16:8}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #13

Simplify the given fraction to the denominator 8:

816= \frac{8}{16}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 16, gives us a result of 8

Therefore:

8:216:2=48 \frac{8:2}{16:2}=\frac{4}{8}

Answer

48 \frac{4}{8}

Exercise #14

Simplify the fraction below to the denominator 3:

1218= \frac{12}{18}=

Video Solution

Step-by-Step Solution

Let's look at the numerator of the fraction. We'll try to find a number that, when divided by 18, gives us a result of 3.

Therefore:

12:618:6=23 \frac{12:6}{18:6}=\frac{2}{3}

Answer

23 \frac{2}{3}

Exercise #15

Simplify the given fraction to the denominator 6:

1218= \frac{12}{18}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 18, gives us a result of 6

Therefore:

12:318:3=46 \frac{12:3}{18:3}=\frac{4}{6}

Answer

46 \frac{4}{6}

Exercise #16

Simplify the following fraction to the denominator 8:

624= \frac{6}{24}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 24, gives us a result of 8

Therefore:

6:324:3=28 \frac{6:3}{24:3}=\frac{2}{8}

Answer

28 \frac{2}{8}

Exercise #17

Simplify the following fraction and specify the highest common factor:

1636= \frac{16}{36}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 36, gives us a result of 9.

Therefore:

16:436:4=49 \frac{16:4}{36:4}=\frac{4}{9}

Answer


49 \frac{4}{9} , 4

Exercise #18

Simplify the fraction below and specify the highest common factor:

1836= \frac{18}{36}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 36, gives us a result of 6

Therefore:

18:636:6=36 \frac{18:6}{36:6}=\frac{3}{6}

Answer

36 \frac{3}{6} , 6

Exercise #19

Simplify the fraction below to the denominator 4 and specify the simplification factor:

1836= \frac{18}{36}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 36, gives us a result of 4

Therefore:

18:936:9=24 \frac{18:9}{36:9}=\frac{2}{4}

Answer

24 \frac{2}{4} , factor of 9

Exercise #20

Simplify the following fraction to the denominator 18 and specify the simplification factor:

1836= \frac{18}{36}=

Video Solution

Step-by-Step Solution

Let's look at the denominator of the fraction. We'll try to find a number that, when divided by 36, gives us a result of 18

Therefore:

18:236:2=918 \frac{18:2}{36:2}=\frac{9}{18}

Answer

918 \frac{9}{18} , factor of 3