Question

$$(2 \times \frac{ 22 }{ 7 } \times r)-r=37$$

Answer

r=7

Solution


Remove parentheses.
\[2\times \frac{22}{7}r-r=37\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{2\times 22r}{7}-r=37\]
Simplify  \(2\times 22r\)  to  \(44r\).
\[\frac{44r}{7}-r=37\]
Simplify  \(\frac{44r}{7}-r\)  to  \(\frac{37r}{7}\).
\[\frac{37r}{7}=37\]
Multiply both sides by \(7\).
\[37r=37\times 7\]
Simplify  \(37\times 7\)  to  \(259\).
\[37r=259\]
Divide both sides by \(37\).
\[r=\frac{259}{37}\]
Simplify  \(\frac{259}{37}\)  to  \(7\).
\[r=7\]