Solve 5/11*1/5+8/11*5/16quadd

$$\frac { 5 } { 11 } \cdot \frac { 1 } { 5 } + \frac { 8 } { 11 } \cdot \frac { 5 } { 16 } \quad d$$

Evaluate

$$\frac{5d}{22}+\frac{1}{11}$$

Solution Steps

Multiply \frac{5}{11} times \frac{1}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 1}{11\times 5}+\frac{8}{11}\times \frac{5}{16}d$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{11}+\frac{8}{11}\times \frac{5}{16}d$$

Multiply \frac{8}{11} times \frac{5}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{11}+\frac{8\times 5}{11\times 16}d$$

Do the multiplications in the fraction \frac{8\times 5}{11\times 16}.

$$\frac{1}{11}+\frac{40}{176}d$$

Reduce the fraction \frac{40}{176} to lowest terms by extracting and canceling out 8.

$$\frac{1}{11}+\frac{5}{22}d$$

Factor

$$\frac{5d+2}{22}$$

Solution Steps

Factor out \frac{1}{22}.

$$\frac{2+5d}{22}$$