Solve 7/4*5/3+9/8=

$$\frac { 7 } { 4 } \cdot \frac { 5 } { 3 } + \frac { 9 } { 8 } =$$

Evaluate

$$\frac{97}{24}\approx 4.041666667$$

Solution Steps

Multiply \frac{7}{4} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{4\times 3}+\frac{9}{8}$$

Do the multiplications in the fraction \frac{7\times 5}{4\times 3}.

$$\frac{35}{12}+\frac{9}{8}$$

Least common multiple of 12 and 8 is 24. Convert \frac{35}{12} and \frac{9}{8} to fractions with denominator 24.

$$\frac{70}{24}+\frac{27}{24}$$

Since \frac{70}{24} and \frac{27}{24} have the same denominator, add them by adding their numerators.

$$\frac{70+27}{24}$$

Add 70 and 27 to get 97.

$$\frac{97}{24}$$

Factor

$$\frac{97}{2 ^ {3} \cdot 3} = 4\frac{1}{24} = 4.041666666666667$$