Solve 32-28/1357-1261*(1338-1261)+28

$$\frac{ 32-28 }{ 1357-1261 } \times (1338-1261)+28$$

Evaluate

$$\frac{749}{24}\approx 31.208333333$$

Solution Steps

Subtract 28 from 32 to get 4.

$$\frac{4}{1357-1261}\left(1338-1261\right)+28$$

Subtract 1261 from 1357 to get 96.

$$\frac{4}{96}\left(1338-1261\right)+28$$

Reduce the fraction \frac{4}{96} to lowest terms by extracting and canceling out 4.

$$\frac{1}{24}\left(1338-1261\right)+28$$

Subtract 1261 from 1338 to get 77.

$$\frac{1}{24}\times 77+28$$

Multiply \frac{1}{24} and 77 to get \frac{77}{24}.

$$\frac{77}{24}+28$$

Convert 28 to fraction \frac{672}{24}.

$$\frac{77}{24}+\frac{672}{24}$$

Since \frac{77}{24} and \frac{672}{24} have the same denominator, add them by adding their numerators.

$$\frac{77+672}{24}$$

Add 77 and 672 to get 749.

$$\frac{749}{24}$$

Factor

$$\frac{7 \cdot 107}{2 ^ {3} \cdot 3} = 31\frac{5}{24} = 31.208333333333332$$