Solve 71/4*8250*1/4

$$7 \frac { 1 } { 4 } \times 8250 \times 1 / 4$$

Evaluate

$$\frac{119625}{8}=14953.125$$

Solution Steps

Multiply 7 and 4 to get 28.

$$\frac{28+1}{4}\times 8250\times \frac{1}{4}$$

Add 28 and 1 to get 29.

$$\frac{29}{4}\times 8250\times \frac{1}{4}$$

Express \frac{29}{4}\times 8250 as a single fraction.

$$\frac{29\times 8250}{4}\times \frac{1}{4}$$

Multiply 29 and 8250 to get 239250.

$$\frac{239250}{4}\times \frac{1}{4}$$

Reduce the fraction \frac{239250}{4} to lowest terms by extracting and canceling out 2.

$$\frac{119625}{2}\times \frac{1}{4}$$

Multiply \frac{119625}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{119625\times 1}{2\times 4}$$

Do the multiplications in the fraction \frac{119625\times 1}{2\times 4}.

$$\frac{119625}{8}$$

Factor

$$\frac{3 \cdot 5 ^ {3} \cdot 11 \cdot 29}{2 ^ {3}} = 14953\frac{1}{8} = 14953.125$$