Solve 45/8div(51/4*4/5)

$$4 \frac { 5 } { 8 } \div ( 5 \frac { 1 } { 4 } \times \frac { 4 } { 5 } )$$

Evaluate

$$\frac{185}{168}\approx 1.101190476$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{\frac{32+5}{8}}{\frac{5\times 4+1}{4}\times \frac{4}{5}}$$

Add 32 and 5 to get 37.

$$\frac{\frac{37}{8}}{\frac{5\times 4+1}{4}\times \frac{4}{5}}$$

Multiply 5 and 4 to get 20.

$$\frac{\frac{37}{8}}{\frac{20+1}{4}\times \frac{4}{5}}$$

Add 20 and 1 to get 21.

$$\frac{\frac{37}{8}}{\frac{21}{4}\times \frac{4}{5}}$$

Multiply \frac{21}{4} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{37}{8}}{\frac{21\times 4}{4\times 5}}$$

Cancel out 4 in both numerator and denominator.

$$\frac{\frac{37}{8}}{\frac{21}{5}}$$

Divide \frac{37}{8} by \frac{21}{5} by multiplying \frac{37}{8} by the reciprocal of \frac{21}{5}.

$$\frac{37}{8}\times \frac{5}{21}$$

Multiply \frac{37}{8} times \frac{5}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\times 5}{8\times 21}$$

Do the multiplications in the fraction \frac{37\times 5}{8\times 21}.

$$\frac{185}{168}$$

Factor

$$\frac{5 \cdot 37}{2 ^ {3} \cdot 3 \cdot 7} = 1\frac{17}{168} = 1.1011904761904763$$