Grade 5 questions on how to convert mixed numbers to fractions are presented along with examples and detailed step-by-step solutions.
Example
Convert the mixed number into a fraction: \[ 5 \dfrac{3}{4} \]
Solution
To convert a mixed number into a fraction, follow these 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 a denominator equal to 1.
\[ = \dfrac{5}{1} + \dfrac{3}{4} \]
Step 3: Write the fraction \(\dfrac{5}{1}\) with the denominator \(4\) by multiplying its 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 and Step-by-Step Solutions
Write the following mixed numbers as fractions.
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Question 1: \[ 6 \dfrac{3}{5} \]
► View Step-by-Step Solution
\[ 6 \dfrac{3}{5} = 6 + \dfrac{3}{5} = \dfrac{6 \times 5}{1 \times 5} + \dfrac{3}{5} = \dfrac{30}{5} + \dfrac{3}{5} = \dfrac{33}{5} \]
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Question 2: \[ 1 \dfrac{1}{10} \]
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\[ 1 \dfrac{1}{10} = 1 + \dfrac{1}{10} = \dfrac{1 \times 10}{1 \times 10} + \dfrac{1}{10} = \dfrac{10}{10} + \dfrac{1}{10} = \dfrac{11}{10} \]
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Question 3: \[ 7 \dfrac{3}{7} \]
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\[ 7 \dfrac{3}{7} = 7 + \dfrac{3}{7} = \dfrac{7 \times 7}{1 \times 7} + \dfrac{3}{7} = \dfrac{49}{7} + \dfrac{3}{7} = \dfrac{52}{7} \]
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Question 4: \[ 102 \dfrac{1}{2} \]
► View Step-by-Step Solution
\[ 102 \dfrac{1}{2} = 102 + \dfrac{1}{2} = \dfrac{102 \times 2}{1 \times 2} + \dfrac{1}{2} = \dfrac{204}{2} + \dfrac{1}{2} = \dfrac{205}{2} \]