Solve 15/20div24/15*42/35

$$\frac { 15 } { 20 } \div \frac { 24 } { 15 } \times \frac { 42 } { 35 }$$

Evaluate

$$\frac{9}{16}=0.5625$$

Solution Steps

Divide \frac{15}{20} by \frac{24}{15} by multiplying \frac{15}{20} by the reciprocal of \frac{24}{15}.

$$\frac{15\times 15}{20\times 24}\times \frac{42}{35}$$

Cancel out 3\times 5 in both numerator and denominator.

$$\frac{15}{4\times 8}\times \frac{42}{35}$$

Multiply 4 and 8 to get 32.

$$\frac{15}{32}\times \frac{42}{35}$$

Reduce the fraction \frac{42}{35} to lowest terms by extracting and canceling out 7.

$$\frac{15}{32}\times \frac{6}{5}$$

Multiply \frac{15}{32} times \frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 6}{32\times 5}$$

Do the multiplications in the fraction \frac{15\times 6}{32\times 5}.

$$\frac{90}{160}$$

Reduce the fraction \frac{90}{160} to lowest terms by extracting and canceling out 10.

$$\frac{9}{16}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {4}} = 0.5625$$