Solve 2/2+3-1,05/3+1frac{-2{4}}

$$\frac { \frac { 2 } { 2 } + 3 - 1,05 } { 3 + 1 \frac { - 2 } { 4 } }$$

Evaluate

$$\frac{59}{70}\approx 0,842857143$$

Solution Steps

Divide 2 by 2 to get 1.

$$\frac{1+3-1,05}{3+\frac{1\times 4-2}{4}}$$

Add 1 and 3 to get 4.

$$\frac{4-1,05}{3+\frac{1\times 4-2}{4}}$$

Subtract 1,05 from 4 to get 2,95.

$$\frac{2,95}{3+\frac{1\times 4-2}{4}}$$

Multiply 1 and 4 to get 4.

$$\frac{2,95}{3+\frac{4-2}{4}}$$

Subtract 2 from 4 to get 2.

$$\frac{2,95}{3+\frac{2}{4}}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{2,95}{3+\frac{1}{2}}$$

Convert 3 to fraction \frac{6}{2}.

$$\frac{2,95}{\frac{6}{2}+\frac{1}{2}}$$

Since \frac{6}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{2,95}{\frac{6+1}{2}}$$

Add 6 and 1 to get 7.

$$\frac{2,95}{\frac{7}{2}}$$

Divide 2,95 by \frac{7}{2} by multiplying 2,95 by the reciprocal of \frac{7}{2}.

$$2,95\times \frac{2}{7}$$

Convert decimal number 2,95 to fraction \frac{295}{100}. Reduce the fraction \frac{295}{100} to lowest terms by extracting and canceling out 5.

$$\frac{59}{20}\times \frac{2}{7}$$

Multiply \frac{59}{20} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{59\times 2}{20\times 7}$$

Do the multiplications in the fraction \frac{59\times 2}{20\times 7}.

$$\frac{118}{140}$$

Reduce the fraction \frac{118}{140} to lowest terms by extracting and canceling out 2.

$$\frac{59}{70}$$

Factor

$$\frac{59}{2 \cdot 5 \cdot 7} = 0.8428571428571429$$