Solve 37.5div11/4div6=

$$37.5 \div 1 \frac{ 1 }{ 4 } \div 6=$$

Evaluate

$$5$$

Solution Steps

Express \frac{\frac{37.5}{\frac{1\times 4+1}{4}}}{6} as a single fraction.

$$\frac{37.5}{\frac{1\times 4+1}{4}\times 6}$$

Multiply 1 and 4 to get 4.

$$\frac{37.5}{\frac{4+1}{4}\times 6}$$

Add 4 and 1 to get 5.

$$\frac{37.5}{\frac{5}{4}\times 6}$$

Express \frac{5}{4}\times 6 as a single fraction.

$$\frac{37.5}{\frac{5\times 6}{4}}$$

Multiply 5 and 6 to get 30.

$$\frac{37.5}{\frac{30}{4}}$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{37.5}{\frac{15}{2}}$$

Divide 37.5 by \frac{15}{2} by multiplying 37.5 by the reciprocal of \frac{15}{2}.

$$37.5\times \frac{2}{15}$$

Convert decimal number 37.5 to fraction \frac{375}{10}. Reduce the fraction \frac{375}{10} to lowest terms by extracting and canceling out 5.

$$\frac{75}{2}\times \frac{2}{15}$$

Multiply \frac{75}{2} times \frac{2}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{75\times 2}{2\times 15}$$

Cancel out 2 in both numerator and denominator.

$$\frac{75}{15}$$

Divide 75 by 15 to get 5.

$$5$$

Factor

$$5$$