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Maths
Summary
Fractions and mixed numbers can be multiplied by whole numbers.
At a restaurant three people choose pizza from the menu. Each person eats $\frac{3}{4}$ of a pizza. How much pizza do they eat altogether?
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Three lots of three quarters totals nine quarters.
$\frac{3}{4}\times3 = \underline{\frac{9}{4}}$
1. | Multiply the numerator of the fraction by the whole number. Note: The denominator does not change. |
2. | Simplify the fraction if possible. |
Multiply $\frac{3}{12}$ by $3$. Give your answer as a fraction in its simplest form.
Multiply the numerator of the fraction by the whole number:
$\frac{3\times3}{12} = \frac{9}{12}$
Simplify the fraction:
$\frac{9\div3}{12\div3}=\underline{\frac{3}{4}}$
1. | Convert the mixed number into an improper fraction. |
2. | Multiply the numerator of the fraction by the whole number. |
3. | Convert the answer to Step 2 back into a mixed number. |
4. | Simplify the fraction if possible. |
Multiply $2\frac{1}{4}$ by $4$. Give your answer as a mixed number in its simplest form.
Convert the mixed number into an improper fraction:
$2\frac{1}{4} = \frac{2\times4+1}{4} = \frac{9}{4}$
Multiply the numerator of the fraction by the whole number:
$\frac{9}{4}\times4=\frac{36}{4}$
Convert the fraction back into a mixed number:
$36\div4=\underline{9}$
Note: This question has no remainder, so the answer is a whole number with no fraction part.
Mixed numbers and improper fractions
FAQs
Question: Can fractions be multiplied?
Answer: Fractions and mixed numbers can be multiplied by whole numbers.
Question: How do I multiply mixed numbers by a whole number?
Answer: 1. Convert the mixed number into an improper fraction. 2. Multiply the numerator of the fraction by the whole number. 3. Convert the answer to Step 2 back into a mixed number. 4. Simplify the fraction if possible.
Question: How do I multiply fractions by whole numbers?
Answer: 1. Multiply the numerator of the fraction by the whole number. Note: The denominator does not change. 2. Simplify the fraction if possible.
Theory
Exercises
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