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

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

Evaluate

$$\frac{17}{12}\approx 1.416666667$$

Solution Steps

Multiply \frac{4}{9} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{4\times 3}{9\times 8}.

$$\frac{5}{4}+\frac{12}{72}$$

Reduce the fraction \frac{12}{72} to lowest terms by extracting and canceling out 12.

$$\frac{5}{4}+\frac{1}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{5}{4} and \frac{1}{6} to fractions with denominator 12.

$$\frac{15}{12}+\frac{2}{12}$$

Since \frac{15}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{15+2}{12}$$

Add 15 and 2 to get 17.

$$\frac{17}{12}$$

Factor

$$\frac{17}{2 ^ {2} \cdot 3} = 1\frac{5}{12} = 1.4166666666666667$$