Solve 9/8+7/4*7.4=

$$\frac{ 9 }{ 8 } + \frac{ 7 }{ 4 } \times 7.4=$$

Evaluate

$$14.075$$

Solution Steps

Convert decimal number 7.4 to fraction \frac{74}{10}. Reduce the fraction \frac{74}{10} to lowest terms by extracting and canceling out 2.

$$\frac{9}{8}+\frac{7}{4}\times \frac{37}{5}$$

Multiply \frac{7}{4} times \frac{37}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{8}+\frac{7\times 37}{4\times 5}$$

Do the multiplications in the fraction \frac{7\times 37}{4\times 5}.

$$\frac{9}{8}+\frac{259}{20}$$

Least common multiple of 8 and 20 is 40. Convert \frac{9}{8} and \frac{259}{20} to fractions with denominator 40.

$$\frac{45}{40}+\frac{518}{40}$$

Since \frac{45}{40} and \frac{518}{40} have the same denominator, add them by adding their numerators.

$$\frac{45+518}{40}$$

Add 45 and 518 to get 563.

$$\frac{563}{40}$$

Factor

$$\frac{563}{5 \cdot 2 ^ {3}} = 14\frac{3}{40} = 14.075$$