Solve 3-31/4:21/2+0.3=

$$3 - 3 \frac { 1 } { 4 } : 2 \frac { 1 } { 2 } + 0.3 =$$

Evaluate

$$2$$

Solution Steps

Divide \frac{3\times 4+1}{4} by \frac{2\times 2+1}{2} by multiplying \frac{3\times 4+1}{4} by the reciprocal of \frac{2\times 2+1}{2}.

$$3-\frac{\left(3\times 4+1\right)\times 2}{4\left(2\times 2+1\right)}+0.3$$

Cancel out 2 in both numerator and denominator.

$$3-\frac{1+3\times 4}{2\left(1+2\times 2\right)}+0.3$$

Multiply 3 and 4 to get 12.

$$3-\frac{1+12}{2\left(1+2\times 2\right)}+0.3$$

Add 1 and 12 to get 13.

$$3-\frac{13}{2\left(1+2\times 2\right)}+0.3$$

Multiply 2 and 2 to get 4.

$$3-\frac{13}{2\left(1+4\right)}+0.3$$

Add 1 and 4 to get 5.

$$3-\frac{13}{2\times 5}+0.3$$

Multiply 2 and 5 to get 10.

$$3-\frac{13}{10}+0.3$$

Convert 3 to fraction \frac{30}{10}.

$$\frac{30}{10}-\frac{13}{10}+0.3$$

Since \frac{30}{10} and \frac{13}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{30-13}{10}+0.3$$

Subtract 13 from 30 to get 17.

$$\frac{17}{10}+0.3$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$\frac{17}{10}+\frac{3}{10}$$

Since \frac{17}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{17+3}{10}$$

Add 17 and 3 to get 20.

$$\frac{20}{10}$$

Divide 20 by 10 to get 2.

$$2$$

Factor

$$2$$