Solve 70*15div115+16*256div514=

$$70 \times 15 \div 115+16 \times 256 \div 514=$$

Evaluate

$$\frac{101074}{5911}\approx 17.099306378$$

Solution Steps

Multiply 70 and 15 to get 1050.

$$\frac{1050}{115}+\frac{16\times 256}{514}$$

Reduce the fraction \frac{1050}{115} to lowest terms by extracting and canceling out 5.

$$\frac{210}{23}+\frac{16\times 256}{514}$$

Multiply 16 and 256 to get 4096.

$$\frac{210}{23}+\frac{4096}{514}$$

Reduce the fraction \frac{4096}{514} to lowest terms by extracting and canceling out 2.

$$\frac{210}{23}+\frac{2048}{257}$$

Least common multiple of 23 and 257 is 5911. Convert \frac{210}{23} and \frac{2048}{257} to fractions with denominator 5911.

$$\frac{53970}{5911}+\frac{47104}{5911}$$

Since \frac{53970}{5911} and \frac{47104}{5911} have the same denominator, add them by adding their numerators.

$$\frac{53970+47104}{5911}$$

Add 53970 and 47104 to get 101074.

$$\frac{101074}{5911}$$

Factor

$$\frac{2 \cdot 97 \cdot 521}{23 \cdot 257} = 17\frac{587}{5911} = 17.099306377939435$$