# Convert Mixed Numbers to Fractions Examples and Questions with Answers (Grade 5)



Grade 5 questions on how to convert mixed numbers to fractions with answers are presented.

## Example

Convert the mixed number $5 \dfrac{3}{4}$ into a fraction.

### Solution

To convert a mixed number into a fraction, follow the steps:
Step 1: Write the mixed number as a sum of a whole number and a fraction. $5 \dfrac{3}{4} = 5 + \dfrac{3}{4}$ Step 2: Write the whole number (5 in this example) as a fraction with denominator equal to 1. $= \dfrac{5}{1} + \dfrac{3}{4}$ Step 3: Write the fraction $$\dfrac{5}{1}$$ with the denominator $$4$$ by multiplying numerator and denominator by $$4$$. $= \dfrac{5 \times 4}{1 \times 4} + \dfrac{3}{4}$ Step 4: Simplify $$\dfrac{5 \times 4}{1 \times 4}$$. $= \dfrac{20}{4} + \dfrac{3}{4}$ Step 5: Add the two fractions. $= \dfrac{23}{4}$

## Questions with answers

Write the following mixed numbers as fractions.

1. $$6 \dfrac{3}{5}$$

2. $$1 \dfrac{1}{10}$$

3. $$7 \dfrac{3}{7}$$

4. $$102 \dfrac{1}{2}$$

## Answers to above questions

1. $$6 \dfrac{3}{5} = 6 + \dfrac{3}{5} = \dfrac{6 \times 5}{1 \times 5} + \dfrac{3}{5} = \dfrac{30}{5} + \dfrac{3}{5} = \dfrac{33}{5}$$

2. $$1 \dfrac{1}{10} = 1 + \dfrac{1}{10} = \dfrac{1 \times 10}{ 1\times 10} + \dfrac{1}{10} = \dfrac{10}{10} + \dfrac{1}{10} = \dfrac{11}{10}$$

3. $$7 \dfrac{3}{7} = 7 + \dfrac{3}{7} = \dfrac{7 \times 7}{ 1\times 7} + \dfrac{3}{7} = \dfrac{49}{7} + + \dfrac{3}{7} = \dfrac{52}{7}$$

4. $$102 \dfrac{1}{2} = 102 + \dfrac{1}{2} = \dfrac{102 \times 2}{ 1\times 2} + \dfrac{1}{2} = \dfrac{204}{2} + \dfrac{1}{2} = \dfrac{205}{2}$$

## References and Links

Primary Maths (grades 4 and 5) with Free Questions and Problems With Answers
Middle School Maths (grades 6,7,8 and 9) with Free Questions and Problems With Answers
High School Maths (Grades 10, 11 and 12) - Free Questions and Problems With Answers