Year 10 Maths - 10 Linear Relations

Multiplying and Dividing Algebraic Fractions

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Questions

Question 1

41726

Simplify \( {\dfrac{7{x}}{8}}\times{\dfrac{3}{{x}}}\div{\dfrac{5}{{y}}} \)

Answer

\(\dfrac{21y}{40}\)

Worked Solution

\begin{aligned}
& \frac{7 x}{8} \times \frac{3}{x} \div \frac{5}{y} \\
=& \frac{7 \cancel{x} \times 3}{8 \times \cancel{x}} \div \frac{5}{y} \\
=& \frac{21}{8} \div \frac{5}{y} \\
=& \frac{21 \times y}{8 \times 5} \\
=& \frac{21 y}{40}
\end{aligned}

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