Solve (1.00*112.275(28.7-23.5)+.52*71.155(28.7-23.5))div(91.272(62.2-28.7)

$$(1.00 \times 112.275(28.7-23.5)+.52 \times 71.155(28.7-23.5)) \div (91.272(62.2-28.7)$$

Evaluate

$$\frac{4851457}{19110075}\approx 0.253869072$$

Solution Steps

Multiply 1 and 112.275 to get 112.275.

$$\frac{112.275\left(28.7-23.5\right)+0.52\times 71.155\left(28.7-23.5\right)}{91.272\left(62.2-28.7\right)}$$

Subtract 23.5 from 28.7 to get 5.2.

$$\frac{112.275\times 5.2+0.52\times 71.155\left(28.7-23.5\right)}{91.272\left(62.2-28.7\right)}$$

Multiply 112.275 and 5.2 to get 583.83.

$$\frac{583.83+0.52\times 71.155\left(28.7-23.5\right)}{91.272\left(62.2-28.7\right)}$$

Multiply 0.52 and 71.155 to get 37.0006.

$$\frac{583.83+37.0006\left(28.7-23.5\right)}{91.272\left(62.2-28.7\right)}$$

Subtract 23.5 from 28.7 to get 5.2.

$$\frac{583.83+37.0006\times 5.2}{91.272\left(62.2-28.7\right)}$$

Multiply 37.0006 and 5.2 to get 192.40312.

$$\frac{583.83+192.40312}{91.272\left(62.2-28.7\right)}$$

Add 583.83 and 192.40312 to get 776.23312.

$$\frac{776.23312}{91.272\left(62.2-28.7\right)}$$

Subtract 28.7 from 62.2 to get 33.5.

$$\frac{776.23312}{91.272\times 33.5}$$

Multiply 91.272 and 33.5 to get 3057.612.

$$\frac{776.23312}{3057.612}$$

Expand \frac{776.23312}{3057.612} by multiplying both numerator and the denominator by 100000.

$$\frac{77623312}{305761200}$$

Reduce the fraction \frac{77623312}{305761200} to lowest terms by extracting and canceling out 16.

$$\frac{4851457}{19110075}$$

Factor

$$\frac{13 \cdot 157 \cdot 2377}{3 \cdot 67 \cdot 3803 \cdot 5 ^ {2}} = 0.2538690716807757$$