Solve 15/8b163/20c253/25

$$\frac{ 15 }{ 8 } b16 \frac{ 3 }{ 20 } c25 \frac{ 3 }{ 25 }$$

Evaluate

$$\frac{152133bc}{200}$$

Solution Steps

Multiply 16 and 20 to get 320.

$$\frac{15}{8}b\times \frac{320+3}{20}c\times \frac{25\times 25+3}{25}$$

Add 320 and 3 to get 323.

$$\frac{15}{8}b\times \frac{323}{20}c\times \frac{25\times 25+3}{25}$$

Multiply \frac{15}{8} times \frac{323}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 323}{8\times 20}bc\times \frac{25\times 25+3}{25}$$

Do the multiplications in the fraction \frac{15\times 323}{8\times 20}.

$$\frac{4845}{160}bc\times \frac{25\times 25+3}{25}$$

Reduce the fraction \frac{4845}{160} to lowest terms by extracting and canceling out 5.

$$\frac{969}{32}bc\times \frac{25\times 25+3}{25}$$

Multiply 25 and 25 to get 625.

$$\frac{969}{32}bc\times \frac{625+3}{25}$$

Add 625 and 3 to get 628.

$$\frac{969}{32}bc\times \frac{628}{25}$$

Multiply \frac{969}{32} times \frac{628}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{969\times 628}{32\times 25}bc$$

Do the multiplications in the fraction \frac{969\times 628}{32\times 25}.

$$\frac{608532}{800}bc$$

Reduce the fraction \frac{608532}{800} to lowest terms by extracting and canceling out 4.

$$\frac{152133}{200}bc$$

Expand

$$\frac{152133bc}{200}$$

Solution Steps

Multiply 16 and 20 to get 320.

$$\frac{15}{8}b\times \frac{320+3}{20}c\times \frac{25\times 25+3}{25}$$

Add 320 and 3 to get 323.

$$\frac{15}{8}b\times \frac{323}{20}c\times \frac{25\times 25+3}{25}$$

Multiply \frac{15}{8} times \frac{323}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\times 323}{8\times 20}bc\times \frac{25\times 25+3}{25}$$

Do the multiplications in the fraction \frac{15\times 323}{8\times 20}.

$$\frac{4845}{160}bc\times \frac{25\times 25+3}{25}$$

Reduce the fraction \frac{4845}{160} to lowest terms by extracting and canceling out 5.

$$\frac{969}{32}bc\times \frac{25\times 25+3}{25}$$

Multiply 25 and 25 to get 625.

$$\frac{969}{32}bc\times \frac{625+3}{25}$$

Add 625 and 3 to get 628.

$$\frac{969}{32}bc\times \frac{628}{25}$$

Multiply \frac{969}{32} times \frac{628}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{969\times 628}{32\times 25}bc$$

Do the multiplications in the fraction \frac{969\times 628}{32\times 25}.

$$\frac{608532}{800}bc$$

Reduce the fraction \frac{608532}{800} to lowest terms by extracting and canceling out 4.

$$\frac{152133}{200}bc$$