Solve 3.5div42/3=

$$3.5 \div 4 \frac{ 2 }{ 3 } =$$

Evaluate

$$0.75$$

Solution Steps

Divide 3.5 by \frac{4\times 3+2}{3} by multiplying 3.5 by the reciprocal of \frac{4\times 3+2}{3}.

$$\frac{3.5\times 3}{4\times 3+2}$$

Multiply 3.5 and 3 to get 10.5.

$$\frac{10.5}{4\times 3+2}$$

Multiply 4 and 3 to get 12.

$$\frac{10.5}{12+2}$$

Add 12 and 2 to get 14.

$$\frac{10.5}{14}$$

Expand \frac{10.5}{14} by multiplying both numerator and the denominator by 10.

$$\frac{105}{140}$$

Reduce the fraction \frac{105}{140} to lowest terms by extracting and canceling out 35.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$