Solve 1/4*(4.85div5/18-3.6+6.15*33/5)

$$\frac { 1 } { 4 } \times ( 4.85 \div \frac { 5 } { 18 } - 3.6 + 6.15 \times 3 \frac { 3 } { 5 } )$$

Evaluate

$$9$$

Solution Steps

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

$$\frac{1}{4}\left(4.85\times \frac{18}{5}-3.6+6.15\times \frac{3\times 5+3}{5}\right)$$

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.

$$\frac{1}{4}\left(\frac{97}{20}\times \frac{18}{5}-3.6+6.15\times \frac{3\times 5+3}{5}\right)$$

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

$$\frac{1}{4}\left(\frac{97\times 18}{20\times 5}-3.6+6.15\times \frac{3\times 5+3}{5}\right)$$

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

$$\frac{1}{4}\left(\frac{1746}{100}-3.6+6.15\times \frac{3\times 5+3}{5}\right)$$

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

$$\frac{1}{4}\left(\frac{873}{50}-3.6+6.15\times \frac{3\times 5+3}{5}\right)$$

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.

$$\frac{1}{4}\left(\frac{873}{50}-\frac{18}{5}+6.15\times \frac{3\times 5+3}{5}\right)$$

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

$$\frac{1}{4}\left(\frac{873}{50}-\frac{180}{50}+6.15\times \frac{3\times 5+3}{5}\right)$$

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

$$\frac{1}{4}\left(\frac{873-180}{50}+6.15\times \frac{3\times 5+3}{5}\right)$$

Subtract 180 from 873 to get 693.

$$\frac{1}{4}\left(\frac{693}{50}+6.15\times \frac{3\times 5+3}{5}\right)$$

Multiply 3 and 5 to get 15.

$$\frac{1}{4}\left(\frac{693}{50}+6.15\times \frac{15+3}{5}\right)$$

Add 15 and 3 to get 18.

$$\frac{1}{4}\left(\frac{693}{50}+6.15\times \frac{18}{5}\right)$$

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.

$$\frac{1}{4}\left(\frac{693}{50}+\frac{123}{20}\times \frac{18}{5}\right)$$

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

$$\frac{1}{4}\left(\frac{693}{50}+\frac{123\times 18}{20\times 5}\right)$$

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

$$\frac{1}{4}\left(\frac{693}{50}+\frac{2214}{100}\right)$$

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

$$\frac{1}{4}\left(\frac{693}{50}+\frac{1107}{50}\right)$$

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

$$\frac{1}{4}\times \frac{693+1107}{50}$$

Add 693 and 1107 to get 1800.

$$\frac{1}{4}\times \frac{1800}{50}$$

Divide 1800 by 50 to get 36.

$$\frac{1}{4}\times 36$$

Multiply \frac{1}{4} and 36 to get \frac{36}{4}.

$$\frac{36}{4}$$

Divide 36 by 4 to get 9.

$$9$$

Factor

$$3^{2}$$