Solve 73*0.6+2.6*60%+4/5

$$73 \times 0.6 + 2.6 \times 60 \% + \frac { 4 } { 5 }$$

Evaluate

$$46.16$$

Solution Steps

Multiply 73 and 0.6 to get 43.8.

$$43.8+2.6\times \frac{60}{100}+\frac{4}{5}$$

Reduce the fraction \frac{60}{100} to lowest terms by extracting and canceling out 20.

$$43.8+2.6\times \frac{3}{5}+\frac{4}{5}$$

Convert decimal number 2.6 to fraction \frac{26}{10}. Reduce the fraction \frac{26}{10} to lowest terms by extracting and canceling out 2.

$$43.8+\frac{13}{5}\times \frac{3}{5}+\frac{4}{5}$$

Multiply \frac{13}{5} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$43.8+\frac{13\times 3}{5\times 5}+\frac{4}{5}$$

Do the multiplications in the fraction \frac{13\times 3}{5\times 5}.

$$43.8+\frac{39}{25}+\frac{4}{5}$$

Convert decimal number 43.8 to fraction \frac{438}{10}. Reduce the fraction \frac{438}{10} to lowest terms by extracting and canceling out 2.

$$\frac{219}{5}+\frac{39}{25}+\frac{4}{5}$$

Least common multiple of 5 and 25 is 25. Convert \frac{219}{5} and \frac{39}{25} to fractions with denominator 25.

$$\frac{1095}{25}+\frac{39}{25}+\frac{4}{5}$$

Since \frac{1095}{25} and \frac{39}{25} have the same denominator, add them by adding their numerators.

$$\frac{1095+39}{25}+\frac{4}{5}$$

Add 1095 and 39 to get 1134.

$$\frac{1134}{25}+\frac{4}{5}$$

Least common multiple of 25 and 5 is 25. Convert \frac{1134}{25} and \frac{4}{5} to fractions with denominator 25.

$$\frac{1134}{25}+\frac{20}{25}$$

Since \frac{1134}{25} and \frac{20}{25} have the same denominator, add them by adding their numerators.

$$\frac{1134+20}{25}$$

Add 1134 and 20 to get 1154.

$$\frac{1154}{25}$$

Factor

$$\frac{2 \cdot 577}{5 ^ {2}} = 46\frac{4}{25} = 46.16$$