Solve =78.886/frac{22{7}}

$$= \frac { 78.886 } { \frac { 22 } { 7 } }$$

Evaluate

$$\frac{276101}{11000}\approx 25.100090909$$

Solution Steps

Divide 78.886 by \frac{22}{7} by multiplying 78.886 by the reciprocal of \frac{22}{7}.

$$78.886\times \frac{7}{22}$$

Convert decimal number 78.886 to fraction \frac{78886}{1000}. Reduce the fraction \frac{78886}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{39443}{500}\times \frac{7}{22}$$

Multiply \frac{39443}{500} times \frac{7}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39443\times 7}{500\times 22}$$

Do the multiplications in the fraction \frac{39443\times 7}{500\times 22}.

$$\frac{276101}{11000}$$

Factor

$$\frac{7 \cdot 39443}{11 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 25\frac{1101}{11000} = 25.10009090909091$$