Solve 2/7+5/8+4*375=

$$\frac { 2 } { 7 } + \frac { 5 } { 8 } + 4 \cdot 375 =$$

Evaluate

$$\frac{84051}{56}\approx 1500.910714286$$

Solution Steps

Least common multiple of 7 and 8 is 56. Convert \frac{2}{7} and \frac{5}{8} to fractions with denominator 56.

$$\frac{16}{56}+\frac{35}{56}+4\times 375$$

Since \frac{16}{56} and \frac{35}{56} have the same denominator, add them by adding their numerators.

$$\frac{16+35}{56}+4\times 375$$

Add 16 and 35 to get 51.

$$\frac{51}{56}+4\times 375$$

Multiply 4 and 375 to get 1500.

$$\frac{51}{56}+1500$$

Convert 1500 to fraction \frac{84000}{56}.

$$\frac{51}{56}+\frac{84000}{56}$$

Since \frac{51}{56} and \frac{84000}{56} have the same denominator, add them by adding their numerators.

$$\frac{51+84000}{56}$$

Add 51 and 84000 to get 84051.

$$\frac{84051}{56}$$

Factor

$$\frac{3 ^ {3} \cdot 11 \cdot 283}{2 ^ {3} \cdot 7} = 1500\frac{51}{56} = 1500.9107142857142$$