Solve 2/3*125+7/2*25-26=

$$\frac{ 2 }{ 3 } \times 125+ \frac{ 7 }{ 2 } \times 25-26=$$

Evaluate

$$\frac{869}{6}\approx 144.833333333$$

Solution Steps

Express \frac{2}{3}\times 125 as a single fraction.

$$\frac{2\times 125}{3}+\frac{7}{2}\times 25-26$$

Multiply 2 and 125 to get 250.

$$\frac{250}{3}+\frac{7}{2}\times 25-26$$

Express \frac{7}{2}\times 25 as a single fraction.

$$\frac{250}{3}+\frac{7\times 25}{2}-26$$

Multiply 7 and 25 to get 175.

$$\frac{250}{3}+\frac{175}{2}-26$$

Least common multiple of 3 and 2 is 6. Convert \frac{250}{3} and \frac{175}{2} to fractions with denominator 6.

$$\frac{500}{6}+\frac{525}{6}-26$$

Since \frac{500}{6} and \frac{525}{6} have the same denominator, add them by adding their numerators.

$$\frac{500+525}{6}-26$$

Add 500 and 525 to get 1025.

$$\frac{1025}{6}-26$$

Convert 26 to fraction \frac{156}{6}.

$$\frac{1025}{6}-\frac{156}{6}$$

Since \frac{1025}{6} and \frac{156}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1025-156}{6}$$

Subtract 156 from 1025 to get 869.

$$\frac{869}{6}$$

Factor

$$\frac{11 \cdot 79}{2 \cdot 3} = 144\frac{5}{6} = 144.83333333333334$$