Solve 57.8+36.58div5.9*5.4

$$57.8 + 36.58 \div 5.9 \cdot 5.4$$

Evaluate

$$91.28$$

Solution Steps

Expand \frac{36.58}{5.9} by multiplying both numerator and the denominator by 100.

$$57.8+\frac{3658}{590}\times 5.4$$

Reduce the fraction \frac{3658}{590} to lowest terms by extracting and canceling out 118.

$$57.8+\frac{31}{5}\times 5.4$$

Convert decimal number 5.4 to fraction \frac{54}{10}. Reduce the fraction \frac{54}{10} to lowest terms by extracting and canceling out 2.

$$57.8+\frac{31}{5}\times \frac{27}{5}$$

Multiply \frac{31}{5} times \frac{27}{5} by multiplying numerator times numerator and denominator times denominator.

$$57.8+\frac{31\times 27}{5\times 5}$$

Do the multiplications in the fraction \frac{31\times 27}{5\times 5}.

$$57.8+\frac{837}{25}$$

Convert decimal number 57.8 to fraction \frac{578}{10}. Reduce the fraction \frac{578}{10} to lowest terms by extracting and canceling out 2.

$$\frac{289}{5}+\frac{837}{25}$$

Least common multiple of 5 and 25 is 25. Convert \frac{289}{5} and \frac{837}{25} to fractions with denominator 25.

$$\frac{1445}{25}+\frac{837}{25}$$

Since \frac{1445}{25} and \frac{837}{25} have the same denominator, add them by adding their numerators.

$$\frac{1445+837}{25}$$

Add 1445 and 837 to get 2282.

$$\frac{2282}{25}$$

Factor

$$\frac{2 \cdot 7 \cdot 163}{5 ^ {2}} = 91\frac{7}{25} = 91.28$$