Solve (3div2.5+4.3)*0.35

$$(3 \div 2.5+4.3) \times 0.35$$

Evaluate

$$1.925$$

Solution Steps

Expand \frac{3}{2.5} by multiplying both numerator and the denominator by 10.

$$\left(\frac{30}{25}+4.3\right)\times 0.35$$

Reduce the fraction \frac{30}{25} to lowest terms by extracting and canceling out 5.

$$\left(\frac{6}{5}+4.3\right)\times 0.35$$

Convert decimal number 4.3 to fraction \frac{43}{10}.

$$\left(\frac{6}{5}+\frac{43}{10}\right)\times 0.35$$

Least common multiple of 5 and 10 is 10. Convert \frac{6}{5} and \frac{43}{10} to fractions with denominator 10.

$$\left(\frac{12}{10}+\frac{43}{10}\right)\times 0.35$$

Since \frac{12}{10} and \frac{43}{10} have the same denominator, add them by adding their numerators.

$$\frac{12+43}{10}\times 0.35$$

Add 12 and 43 to get 55.

$$\frac{55}{10}\times 0.35$$

Reduce the fraction \frac{55}{10} to lowest terms by extracting and canceling out 5.

$$\frac{11}{2}\times 0.35$$

Convert decimal number 0.35 to fraction \frac{35}{100}. Reduce the fraction \frac{35}{100} to lowest terms by extracting and canceling out 5.

$$\frac{11}{2}\times \frac{7}{20}$$

Multiply \frac{11}{2} times \frac{7}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 7}{2\times 20}$$

Do the multiplications in the fraction \frac{11\times 7}{2\times 20}.

$$\frac{77}{40}$$

Factor

$$\frac{7 \cdot 11}{5 \cdot 2 ^ {3}} = 1\frac{37}{40} = 1.925$$