Multiplying fractions and mixed numbers

In a nutshell

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?

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.