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

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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.
\[
= \dfrac{23}{4}
\]