Solve 3.75*22/5+2.4+5.25div5/12

$$3.75 \times 2 \frac { 2 } { 5 } + 2.4 + 5.25 \div \frac { 5 } { 12 }$$

Evaluate

$$24$$

Solution Steps

Multiply 2 and 5 to get 10.

$$3.75\times \frac{10+2}{5}+2.4+\frac{5.25}{\frac{5}{12}}$$

Add 10 and 2 to get 12.

$$3.75\times \frac{12}{5}+2.4+\frac{5.25}{\frac{5}{12}}$$

Convert decimal number 3.75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{15}{4}\times \frac{12}{5}+2.4+\frac{5.25}{\frac{5}{12}}$$

Multiply \frac{15}{4} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 12}{4\times 5}+2.4+\frac{5.25}{\frac{5}{12}}$$

Do the multiplications in the fraction \frac{15\times 12}{4\times 5}.

$$\frac{180}{20}+2.4+\frac{5.25}{\frac{5}{12}}$$

Divide 180 by 20 to get 9.

$$9+2.4+\frac{5.25}{\frac{5}{12}}$$

Add 9 and 2.4 to get 11.4.

$$11.4+\frac{5.25}{\frac{5}{12}}$$

Divide 5.25 by \frac{5}{12} by multiplying 5.25 by the reciprocal of \frac{5}{12}.

$$11.4+5.25\times \frac{12}{5}$$

Convert decimal number 5.25 to fraction \frac{525}{100}. Reduce the fraction \frac{525}{100} to lowest terms by extracting and canceling out 25.

$$11.4+\frac{21}{4}\times \frac{12}{5}$$

Multiply \frac{21}{4} times \frac{12}{5} by multiplying numerator times numerator and denominator times denominator.

$$11.4+\frac{21\times 12}{4\times 5}$$

Do the multiplications in the fraction \frac{21\times 12}{4\times 5}.

$$11.4+\frac{252}{20}$$

Reduce the fraction \frac{252}{20} to lowest terms by extracting and canceling out 4.

$$11.4+\frac{63}{5}$$

Convert decimal number 11.4 to fraction \frac{114}{10}. Reduce the fraction \frac{114}{10} to lowest terms by extracting and canceling out 2.

$$\frac{57}{5}+\frac{63}{5}$$

Since \frac{57}{5} and \frac{63}{5} have the same denominator, add them by adding their numerators.

$$\frac{57+63}{5}$$

Add 57 and 63 to get 120.

$$\frac{120}{5}$$

Divide 120 by 5 to get 24.

$$24$$

Factor

$$3\times 2^{3}$$