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.
\[
= \dfrac{23}{4}
\]
Questions with answers
Write the following mixed numbers as fractions.
\(
6 \dfrac{3}{5}
\)
\(
1 \dfrac{1}{10}
\)
\(
7 \dfrac{3}{7}
\)
\(
102 \dfrac{1}{2}
\)
Answers to above questions
\(
6 \dfrac{3}{5} = 6 + \dfrac{3}{5} = \dfrac{6 \times 5}{1 \times 5} + \dfrac{3}{5} = \dfrac{30}{5} + \dfrac{3}{5} = \dfrac{33}{5}
\)
\(
1 \dfrac{1}{10} = 1 + \dfrac{1}{10} = \dfrac{1 \times 10}{ 1\times 10} + \dfrac{1}{10} = \dfrac{10}{10} + \dfrac{1}{10} = \dfrac{11}{10}
\)
\(
7 \dfrac{3}{7} = 7 + \dfrac{3}{7} = \dfrac{7 \times 7}{ 1\times 7} + \dfrac{3}{7} = \dfrac{49}{7} + + \dfrac{3}{7} = \dfrac{52}{7}
\)
\(
102 \dfrac{1}{2} = 102 + \dfrac{1}{2} = \dfrac{102 \times 2}{ 1\times 2} + \dfrac{1}{2} = \dfrac{204}{2} + \dfrac{1}{2} = \dfrac{205}{2}
\)