Solve 1/8*9/2+4/8*5/2

$$\frac { 1 } { 8 } \cdot \frac { 9 } { 2 } + \frac { 4 } { 8 } \cdot \frac { 5 } { 2 }$$

Evaluate

$$\frac{29}{16}=1.8125$$

Solution Steps

Multiply \frac{1}{8} times \frac{9}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{8\times 2}+\frac{4}{8}\times \frac{5}{2}$$

Do the multiplications in the fraction \frac{1\times 9}{8\times 2}.

$$\frac{9}{16}+\frac{4}{8}\times \frac{5}{2}$$

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$\frac{9}{16}+\frac{1}{2}\times \frac{5}{2}$$

Multiply \frac{1}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9}{16}+\frac{1\times 5}{2\times 2}$$

Do the multiplications in the fraction \frac{1\times 5}{2\times 2}.

$$\frac{9}{16}+\frac{5}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{9}{16} and \frac{5}{4} to fractions with denominator 16.

$$\frac{9}{16}+\frac{20}{16}$$

Since \frac{9}{16} and \frac{20}{16} have the same denominator, add them by adding their numerators.

$$\frac{9+20}{16}$$

Add 9 and 20 to get 29.

$$\frac{29}{16}$$

Factor

$$\frac{29}{2 ^ {4}} = 1\frac{13}{16} = 1.8125$$