Solve 33/4+6.85*8=

$$3 \frac { 3 } { 4 } + 6.85 \times 8 =$$

Evaluate

$$58.55$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}+6.85\times 8$$

Add 12 and 3 to get 15.

$$\frac{15}{4}+6.85\times 8$$

Multiply 6.85 and 8 to get 54.8.

$$\frac{15}{4}+54.8$$

Convert decimal number 54.8 to fraction \frac{548}{10}. Reduce the fraction \frac{548}{10} to lowest terms by extracting and canceling out 2.

$$\frac{15}{4}+\frac{274}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{15}{4} and \frac{274}{5} to fractions with denominator 20.

$$\frac{75}{20}+\frac{1096}{20}$$

Since \frac{75}{20} and \frac{1096}{20} have the same denominator, add them by adding their numerators.

$$\frac{75+1096}{20}$$

Add 75 and 1096 to get 1171.

$$\frac{1171}{20}$$

Factor

$$\frac{1171}{5 \cdot 2 ^ {2}} = 58\frac{11}{20} = 58.55$$