Question

$$( \frac{ 9 }{ 16 } \times \frac{ 3 }{ 9 } )+( \frac{ 9 }{ 16 } \times \frac{ 4 }{ 12 } )$$

Answer

3/8

Solution


Cancel \(9\).
\[\frac{1}{16}\times 3+\frac{9}{16}\times \frac{4}{12}\]
Simplify  \(\frac{1}{16}\times 3\)  to  \(\frac{3}{16}\).
\[\frac{3}{16}+\frac{9}{16}\times \frac{4}{12}\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{3}{16}+\frac{9\times 4}{16\times 12}\]
Simplify  \(9\times 4\)  to  \(36\).
\[\frac{3}{16}+\frac{36}{16\times 12}\]
Simplify  \(16\times 12\)  to  \(192\).
\[\frac{3}{16}+\frac{36}{192}\]
Simplify  \(\frac{36}{192}\)  to  \(\frac{3}{16}\).
\[\frac{3}{16}+\frac{3}{16}\]
Simplify.
\[\frac{6}{16}\]
Simplify.
\[\frac{3}{8}\]

Decimal Form: 0.375