Solve 158/48*36/49+25*74

$$\frac{ 158 }{ 48 } \times \frac{ 36 }{ 49+25 } \times 74$$

Evaluate

$$\frac{237}{2}=118.5$$

Solution Steps

Reduce the fraction \frac{158}{48} to lowest terms by extracting and canceling out 2.

$$\frac{79}{24}\times \frac{36}{49+25}\times 74$$

Add 49 and 25 to get 74.

$$\frac{79}{24}\times \frac{36}{74}\times 74$$

Reduce the fraction \frac{36}{74} to lowest terms by extracting and canceling out 2.

$$\frac{79}{24}\times \frac{18}{37}\times 74$$

Multiply \frac{79}{24} times \frac{18}{37} by multiplying numerator times numerator and denominator times denominator.

$$\frac{79\times 18}{24\times 37}\times 74$$

Do the multiplications in the fraction \frac{79\times 18}{24\times 37}.

$$\frac{1422}{888}\times 74$$

Reduce the fraction \frac{1422}{888} to lowest terms by extracting and canceling out 6.

$$\frac{237}{148}\times 74$$

Express \frac{237}{148}\times 74 as a single fraction.

$$\frac{237\times 74}{148}$$

Multiply 237 and 74 to get 17538.

$$\frac{17538}{148}$$

Reduce the fraction \frac{17538}{148} to lowest terms by extracting and canceling out 74.

$$\frac{237}{2}$$

Factor

$$\frac{3 \cdot 79}{2} = 118\frac{1}{2} = 118.5$$