Solve 49m/9*8frac{m{5^2}}

$$\frac { 49 m } { 9 \cdot 8 \frac { m } { 5 ^ { 2 } } }$$

Evaluate

$$\frac{1225}{72}\approx 17.013888889$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{49m}{72\times \frac{m}{5^{2}}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{49m}{72\times \frac{m}{25}}$$

Express 72\times \frac{m}{25} as a single fraction.

$$\frac{49m}{\frac{72m}{25}}$$

Divide 49m by \frac{72m}{25} by multiplying 49m by the reciprocal of \frac{72m}{25}.

$$\frac{49m\times 25}{72m}$$

Cancel out m in both numerator and denominator.

$$\frac{25\times 49}{72}$$

Multiply 25 and 49 to get 1225.

$$\frac{1225}{72}$$

Factor

$$\frac{5 ^ {2} \cdot 7 ^ {2}}{2 ^ {3} \cdot 3 ^ {2}} = 17\frac{1}{72} = 17.01388888888889$$