John has $\frac{3}{4}$ of a pizza left, and he wants to share it equally with his two friends. If each friend gets the same amount, what fraction of the original pizza does each friend receive?

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Grade 6

Divide fractions and mixed numbers: word problems

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Q. John has

\frac{3}{4}

of a pizza left, and he wants to share it equally with his two friends. If each friend gets the same amount, what fraction of the original pizza does each friend receive?

Rewrite as division: Rewrite the problem as a division: $\frac{3}{4} \div 2$ .
Divide by reciprocal: Divide the fraction by $2$ , which is the same as multiplying by the reciprocal of $2$ (which is $1/2$ ): $(3/4) \times (1/2)$ .
Multiply numerators and denominators: Multiply the numerators and then the denominators: $\frac{3 \times 1}{4 \times 2}$ .
Calculate multiplication: Calculate the multiplication: $\frac{3}{8}.$