Solve 4.85div5/18-3.6+6.15*33/5

$$4.85 \div \frac{ 5 }{ 18 } -3.6+6.15 \times 3 \frac{ 3 }{ 5 }$$

Evaluate

$$36$$

Solution Steps

Divide 4.85 by \frac{5}{18} by multiplying 4.85 by the reciprocal of \frac{5}{18}.

$$4.85\times \frac{18}{5}-3.6+6.15\times \frac{3\times 5+3}{5}$$

Convert decimal number 4.85 to fraction \frac{485}{100}. Reduce the fraction \frac{485}{100} to lowest terms by extracting and canceling out 5.

$$\frac{97}{20}\times \frac{18}{5}-3.6+6.15\times \frac{3\times 5+3}{5}$$

Multiply \frac{97}{20} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{97\times 18}{20\times 5}-3.6+6.15\times \frac{3\times 5+3}{5}$$

Do the multiplications in the fraction \frac{97\times 18}{20\times 5}.

$$\frac{1746}{100}-3.6+6.15\times \frac{3\times 5+3}{5}$$

Reduce the fraction \frac{1746}{100} to lowest terms by extracting and canceling out 2.

$$\frac{873}{50}-3.6+6.15\times \frac{3\times 5+3}{5}$$

Convert decimal number 3.6 to fraction \frac{36}{10}. Reduce the fraction \frac{36}{10} to lowest terms by extracting and canceling out 2.

$$\frac{873}{50}-\frac{18}{5}+6.15\times \frac{3\times 5+3}{5}$$

Least common multiple of 50 and 5 is 50. Convert \frac{873}{50} and \frac{18}{5} to fractions with denominator 50.

$$\frac{873}{50}-\frac{180}{50}+6.15\times \frac{3\times 5+3}{5}$$

Since \frac{873}{50} and \frac{180}{50} have the same denominator, subtract them by subtracting their numerators.

$$\frac{873-180}{50}+6.15\times \frac{3\times 5+3}{5}$$

Subtract 180 from 873 to get 693.

$$\frac{693}{50}+6.15\times \frac{3\times 5+3}{5}$$

Multiply 3 and 5 to get 15.

$$\frac{693}{50}+6.15\times \frac{15+3}{5}$$

Add 15 and 3 to get 18.

$$\frac{693}{50}+6.15\times \frac{18}{5}$$

Convert decimal number 6.15 to fraction \frac{615}{100}. Reduce the fraction \frac{615}{100} to lowest terms by extracting and canceling out 5.

$$\frac{693}{50}+\frac{123}{20}\times \frac{18}{5}$$

Multiply \frac{123}{20} times \frac{18}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{693}{50}+\frac{123\times 18}{20\times 5}$$

Do the multiplications in the fraction \frac{123\times 18}{20\times 5}.

$$\frac{693}{50}+\frac{2214}{100}$$

Reduce the fraction \frac{2214}{100} to lowest terms by extracting and canceling out 2.

$$\frac{693}{50}+\frac{1107}{50}$$

Since \frac{693}{50} and \frac{1107}{50} have the same denominator, add them by adding their numerators.

$$\frac{693+1107}{50}$$

Add 693 and 1107 to get 1800.

$$\frac{1800}{50}$$

Divide 1800 by 50 to get 36.

$$36$$

Factor

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