Question

$$1212=1/3 \times 22/7 \times R2 \times 24$$

Answer

R=2121/88

Solution


Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[1212=\frac{1\times 22R\times 2\times 24}{3\times 7}\]
Simplify  \(1\times 22R\times 2\times 24\)  to  \(1056R\).
\[1212=\frac{1056R}{3\times 7}\]
Simplify  \(3\times 7\)  to  \(21\).
\[1212=\frac{1056R}{21}\]
Simplify  \(\frac{1056R}{21}\)  to  \(\frac{352R}{7}\).
\[1212=\frac{352R}{7}\]
Multiply both sides by \(7\).
\[1212\times 7=352R\]
Simplify  \(1212\times 7\)  to  \(8484\).
\[8484=352R\]
Divide both sides by \(352\).
\[\frac{8484}{352}=R\]
Simplify  \(\frac{8484}{352}\)  to  \(\frac{2121}{88}\).
\[\frac{2121}{88}=R\]
Switch sides.
\[R=\frac{2121}{88}\]

Decimal Form: 24.102273