Reduce and Expand Simple Fractions: Reduce

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Question 1

Simplify the given fraction to its simplest form:

\( \frac{5}{10}= \)

Question 2

Reduce the given fraction into its simplest form:

\( \frac{2}{14}= \)

Question 3

Reduce the given fraction into its simplest form:

\( \frac{3}{12}= \)

Question 4

Reduce the given fraction into its simplest form:

\( \frac{3}{9}= \)

Question 5

Simplify the given fraction into its simplest form:

\( \frac{8}{12}= \)

Examples with solutions for Reduce and Expand Simple Fractions: Reduce

Exercise #1

Simplify the given fraction to its simplest form:

510= \frac{5}{10}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 5, therefore:

5:510:5=12 \frac{5:5}{10:5}=\frac{1}{2}

Answer

12 \frac{1}{2}

Exercise #2

Reduce the given fraction into its simplest form:

214= \frac{2}{14}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 2, therefore:

2:214:2=17 \frac{2:2}{14:2}=\frac{1}{7}

Answer

17 \frac{1}{7}

Exercise #3

Reduce the given fraction into its simplest form:

312= \frac{3}{12}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 3, therefore:

3:312:3=14 \frac{3:3}{12:3}=\frac{1}{4}

Answer

14 \frac{1}{4}

Exercise #4

Reduce the given fraction into its simplest form:

39= \frac{3}{9}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 3, therefore:

3:39:3=13 \frac{3:3}{9:3}=\frac{1}{3}

Answer

13 \frac{1}{3}

Exercise #5

Simplify the given fraction into its simplest form:

812= \frac{8}{12}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 4, therefore:

8:412:4=23 \frac{8:4}{12:4}=\frac{2}{3}

Answer

23 \frac{2}{3}

Question 1

Simplify the given fraction to its simplest form:

\( \frac{1}{15}= \)

Question 2

Simplify the given fraction to its simplest form:

\( \frac{2}{8}= \)

Question 3

Simplify the given fraction to its simplest form:

\( \frac{4}{20}= \)

Question 4

Simplify the given fraction to its simplest form:

\( \frac{6}{15}= \)

Question 5

Simplify the given fraction to its simplest form:

\( \frac{7}{14}= \)

Exercise #6

Simplify the given fraction to its simplest form:

115= \frac{1}{15}=

Video Solution

Step-by-Step Solution

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

In this case, that number is 1, so:

1:115:1=115 \frac{1:1}{15:1}=\frac{1}{15}

Therefore, it cannot be simplified further

Answer

It is not possible to simplify

Exercise #7

Simplify the given fraction to its simplest form:

28= \frac{2}{8}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 2, therefore:

2:28:2=14 \frac{2:2}{8:2}=\frac{1}{4}

Answer

14 \frac{1}{4}

Exercise #8

Simplify the given fraction to its simplest form:

420= \frac{4}{20}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 4, therefore:

4:420:4=15 \frac{4:4}{20:4}=\frac{1}{5}

Answer

15 \frac{1}{5}

Exercise #9

Simplify the given fraction to its simplest form:

615= \frac{6}{15}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by. In this case, the number is 3, therefore:

6:315:3=25 \frac{6:3}{15:3}=\frac{2}{5}

Answer

25 \frac{2}{5}

Exercise #10

Simplify the given fraction to its simplest form:

714= \frac{7}{14}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 7, therefore:

7:714:7=12 \frac{7:7}{14:7}=\frac{1}{2}

Answer

12 \frac{1}{2}

Question 1

Reduce the given fraction into its simplest form:

\( \frac{10}{10}= \)

Question 2

Reduce the given fraction into its simplest form:

\( \frac{12}{15}= \)

Question 3

Reduce the given fraction into its simplest form:

\( \frac{9}{15}= \)

Question 4

Reduce the given fraction to its simplest form:

\( \frac{6}{21}= \)

Question 5

Simplify the following fraction to its simplest form:

\( \frac{6}{36}= \)

Exercise #11

Reduce the given fraction into its simplest form:

1010= \frac{10}{10}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 10, therefore:

10:1010:10=11=1 \frac{10:10}{10:10}=\frac{1}{1}=1

Answer

1 1

Exercise #12

Reduce the given fraction into its simplest form:

1215= \frac{12}{15}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 3, therefore:

12:315:3=43 \frac{12:3}{15:3}=\frac{4}{3}

Answer

45 \frac{4}{5}

Exercise #13

Reduce the given fraction into its simplest form:

915= \frac{9}{15}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 3, therefore:

9:315:3=35 \frac{9:3}{15:3}=\frac{3}{5}

Answer

35 \frac{3}{5}

Exercise #14

Reduce the given fraction to its simplest form:

621= \frac{6}{21}=

Video Solution

Step-by-Step Solution

We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 3, therefore:

6:321:3=27 \frac{6:3}{21:3}=\frac{2}{7}

Answer

27 \frac{2}{7}

Exercise #15

Simplify the following fraction to its simplest form:

636= \frac{6}{36}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 6, therefore:

6:636:6=16 \frac{6:6}{36:6}=\frac{1}{6}

Answer

16 \frac{1}{6}

Question 1

Simplify the given fraction to its simplest form:

\( \frac{15}{20}= \)

Question 2

Simplify the given fraction to its simplest form:

\( \frac{2}{13}= \)

Question 3

Simplify the given fraction to its simplest form:

\( \frac{2}{5}= \)

Question 4

Simplify the given fraction to its simplest form:

\( \frac{8}{24}= \)

Question 5

Simplify the given fraction to its simplest form:

\( \frac{9}{36}= \)

Exercise #16

Simplify the given fraction to its simplest form:

1520= \frac{15}{20}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 5, therefore:

15:520:5=34 \frac{15:5}{20:5}=\frac{3}{4}

Answer

34 \frac{3}{4}

Exercise #17

Simplify the given fraction to its simplest form:

213= \frac{2}{13}=

Video Solution

Step-by-Step Solution

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

In this case, we can divide the numerator by 2, but we cannot divide 13 by 2.

Therefore, we cannot simplify further.

Answer

It is not possible to simplify

Exercise #18

Simplify the given fraction to its simplest form:

25= \frac{2}{5}=

Video Solution

Step-by-Step Solution

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

In this case, the number is 2 but it doesn't divide the denominator.

Therefore, it cannot be simplified.

Answer

It is not possible to simplify

Exercise #19

Simplify the given fraction to its simplest form:

824= \frac{8}{24}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 8, therefore:

8:824:8=13 \frac{8:8}{24:8}=\frac{1}{3}

Answer

13 \frac{1}{3}

Exercise #20

Simplify the given fraction to its simplest form:

936= \frac{9}{36}=

Video Solution

Step-by-Step Solution

We must identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.

In this case, the number is 9, therefore:

9:936:9=14 \frac{9:9}{36:9}=\frac{1}{4}

Answer

14 \frac{1}{4}