Solve 23/5*15/26*283.75=?

$$2 \frac { 3 } { 5 } \times \frac { 15 } { 26 } \times 283.75 = ?$$

Evaluate

$$425.625$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}\times \frac{15}{26}\times 283.75$$

Add 10 and 3 to get 13.

$$\frac{13}{5}\times \frac{15}{26}\times 283.75$$

Multiply \frac{13}{5} times \frac{15}{26} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 15}{5\times 26}\times 283.75$$

Do the multiplications in the fraction \frac{13\times 15}{5\times 26}.

$$\frac{195}{130}\times 283.75$$

Reduce the fraction \frac{195}{130} to lowest terms by extracting and canceling out 65.

$$\frac{3}{2}\times 283.75$$

Convert decimal number 283.75 to fraction \frac{28375}{100}. Reduce the fraction \frac{28375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{3}{2}\times \frac{1135}{4}$$

Multiply \frac{3}{2} times \frac{1135}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\times 1135}{2\times 4}$$

Do the multiplications in the fraction \frac{3\times 1135}{2\times 4}.

$$\frac{3405}{8}$$

Factor

$$\frac{3 \cdot 5 \cdot 227}{2 ^ {3}} = 425\frac{5}{8} = 425.625$$