Solve 69/8*15/2:46/15*16/25=

$$\frac { 69 } { 8 } \cdot \frac { 15 } { 2 } : \frac { 46 } { 15 } \cdot \frac { 16 } { 25 } =$$

Evaluate

$$\frac{27}{2}=13.5$$

Solution Steps

Multiply \frac{69}{8} times \frac{15}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{69\times 15}{8\times 2}}{\frac{46}{15}}\times \frac{16}{25}$$

Do the multiplications in the fraction \frac{69\times 15}{8\times 2}.

$$\frac{\frac{1035}{16}}{\frac{46}{15}}\times \frac{16}{25}$$

Divide \frac{1035}{16} by \frac{46}{15} by multiplying \frac{1035}{16} by the reciprocal of \frac{46}{15}.

$$\frac{1035}{16}\times \frac{15}{46}\times \frac{16}{25}$$

Multiply \frac{1035}{16} times \frac{15}{46} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1035\times 15}{16\times 46}\times \frac{16}{25}$$

Do the multiplications in the fraction \frac{1035\times 15}{16\times 46}.

$$\frac{15525}{736}\times \frac{16}{25}$$

Reduce the fraction \frac{15525}{736} to lowest terms by extracting and canceling out 23.

$$\frac{675}{32}\times \frac{16}{25}$$

Multiply \frac{675}{32} times \frac{16}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{675\times 16}{32\times 25}$$

Do the multiplications in the fraction \frac{675\times 16}{32\times 25}.

$$\frac{10800}{800}$$

Reduce the fraction \frac{10800}{800} to lowest terms by extracting and canceling out 400.

$$\frac{27}{2}$$

Factor

$$\frac{3 ^ {3}}{2} = 13\frac{1}{2} = 13.5$$