Fractions

Guests at a wedding were asked to choose their main course.

• $\displaystyle \frac{3}{7}$ of the guests chose chicken
• $\displaystyle \frac{1}{3}$ of the guests chose beef
• the remaining guests chose the vegetarian option.

Calculate the fraction of guests that chose the vegetarian option.

A basic cookie dough mix requires butter, sugar, flour and chocolate chips.

• $\displaystyle \frac{1}{6}$ of the mix is butter
• $\displaystyle \frac{1}{3}$ of the mix is sugar
• $\displaystyle \frac{1}{4}$ of the mix is chocolate chips

The rest of the mix is flour.

Calculate the fraction of the mix that is flour.

Bryan, Jamie and Jessica bought two medium pizzas between them.

• Bryan ate $\displaystyle \frac{5}{7}$ of a pizza.
• Jamie ate $\displaystyle \frac{2}{3}$ of a pizza.
• Jessica ate the rest.

Calculate the total amount of pizza that Jessica ate.
Give your answer as a fraction of a pizza.

Jamie bought 2 identical cakes for his birthday.

His friends ate $\displaystyle \frac{2}{3}$ of the first cake.

His family ate $\displaystyle \frac{3}{4}$ of the second cake.

Calculate the total amount of cake left over.
Give your answer as a fraction of a cake.

At a school, pupils voted to elect a head prefect.
Fraser received $\displaystyle \frac{3}{8}$ of the votes.

Gracie received $\displaystyle \frac{1}{5}$ of the votes.
Alison received the rest of the votes.
Calculate the fraction of the votes that Alison received.