Solve 25/4*22/7+25/2

$$\frac { 25 } { 4 } \times \frac { 22 } { 7 } + \frac { 25 } { 2 }$$

Evaluate

$$\frac{225}{7}\approx 32.142857143$$

Solution Steps

Multiply \frac{25}{4} times \frac{22}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{25\times 22}{4\times 7}+\frac{25}{2}$$

Do the multiplications in the fraction \frac{25\times 22}{4\times 7}.

$$\frac{550}{28}+\frac{25}{2}$$

Reduce the fraction \frac{550}{28} to lowest terms by extracting and canceling out 2.

$$\frac{275}{14}+\frac{25}{2}$$

Least common multiple of 14 and 2 is 14. Convert \frac{275}{14} and \frac{25}{2} to fractions with denominator 14.

$$\frac{275}{14}+\frac{175}{14}$$

Since \frac{275}{14} and \frac{175}{14} have the same denominator, add them by adding their numerators.

$$\frac{275+175}{14}$$

Add 275 and 175 to get 450.

$$\frac{450}{14}$$

Reduce the fraction \frac{450}{14} to lowest terms by extracting and canceling out 2.

$$\frac{225}{7}$$

Factor

$$\frac{3 ^ {2} \cdot 5 ^ {2}}{7} = 32\frac{1}{7} = 32.142857142857146$$