# 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. $= \dfrac{23}{4}$

Write the following mixed numbers as fractions.

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

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

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

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

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