Question

$$(2 \times \frac{ 22 }{ 7 } \times r)-1=37$$

Answer

r=133/22

Solution


Remove parentheses.
\[2\times \frac{22}{7}r-1=37\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{2\times 22r}{7}-1=37\]
Simplify  \(2\times 22r\)  to  \(44r\).
\[\frac{44r}{7}-1=37\]
Add \(1\) to both sides.
\[\frac{44r}{7}=37+1\]
Simplify  \(37+1\)  to  \(38\).
\[\frac{44r}{7}=38\]
Multiply both sides by \(7\).
\[44r=38\times 7\]
Simplify  \(38\times 7\)  to  \(266\).
\[44r=266\]
Divide both sides by \(44\).
\[r=\frac{266}{44}\]
Simplify  \(\frac{266}{44}\)  to  \(\frac{133}{22}\).
\[r=\frac{133}{22}\]

Decimal Form: 6.045455