Reduce and Expand Simple Fractions: Reduce to

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

Exercise #1

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 #2

Simplify the fraction below 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:

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

Answer

69 \frac{6}{9}

Exercise #3

Simplify the fraction below to the denominator 10:

550 \frac{5}{50}

Video Solution

Step-by-Step Solution

First look at the denominator of the fraction. Try to find a number that, when divided by 50, gives you a result of 10:

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

Answer

110 \frac{1}{10}

Exercise #4

Simplify the fraction below 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:

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

Answer

312 \frac{3}{12}

Exercise #5

Simplify the fraction below 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:

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

Answer

46 \frac{4}{6}

Exercise #6

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:

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

Answer

28 \frac{2}{8}

Exercise #7

Simplify the fraction below 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:

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

Answer

12 \frac{1}{2}

Exercise #8

Simplify the fraction below 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:

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

Answer

48 \frac{4}{8}

Exercise #9

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

1836 \frac{18}{36}

Video Solution

Step-by-Step Solution

Look at the denominator of the fraction. Try to find a number that, when divided by 36, gives you a result of 18:

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

Answer

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

Exercise #10

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:

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

Answer

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