Solve 19*4+14*3.5+25*3+36*2.5+50+19*1.5+7/148=

$$\frac{ 19 \times 4+14 \times 3.5+25 \times 3+36 \times 2.5+50+19 \times 1.5+7 }{ 148 } =$$

Evaluate

$$\frac{751}{296}\approx 2.537162162$$

Solution Steps

Multiply 19 and 4 to get 76. Multiply 25 and 3 to get 75.

$$\frac{76+14\times 3.5+75+36\times 2.5+50+19\times 1.5+7}{148}$$

Multiply 14 and 3.5 to get 49.

$$\frac{76+49+75+36\times 2.5+50+19\times 1.5+7}{148}$$

Add 76 and 49 to get 125.

$$\frac{125+75+36\times 2.5+50+19\times 1.5+7}{148}$$

Add 125 and 75 to get 200.

$$\frac{200+36\times 2.5+50+19\times 1.5+7}{148}$$

Multiply 36 and 2.5 to get 90.

$$\frac{200+90+50+19\times 1.5+7}{148}$$

Add 200 and 90 to get 290.

$$\frac{290+50+19\times 1.5+7}{148}$$

Add 290 and 50 to get 340.

$$\frac{340+19\times 1.5+7}{148}$$

Multiply 19 and 1.5 to get 28.5.

$$\frac{340+28.5+7}{148}$$

Add 340 and 28.5 to get 368.5.

$$\frac{368.5+7}{148}$$

Add 368.5 and 7 to get 375.5.

$$\frac{375.5}{148}$$

Expand \frac{375.5}{148} by multiplying both numerator and the denominator by 10.

$$\frac{3755}{1480}$$

Reduce the fraction \frac{3755}{1480} to lowest terms by extracting and canceling out 5.

$$\frac{751}{296}$$

Factor

$$\frac{751}{37 \cdot 2 ^ {3}} = 2\frac{159}{296} = 2.5371621621621623$$