Solve 196-2:7(1,2-1-0,25)

$$196 - 2 : 7 ( 1,2 - 1 - 0,25 )$$

Evaluate

$$\frac{13721}{70}\approx 196,014285714$$

Solution Steps

Subtract 1 from 1,2 to get 0,2.

$$196-\frac{2}{7}\left(0,2-0,25\right)$$

Subtract 0,25 from 0,2 to get -0,05.

$$196-\frac{2}{7}\left(-0,05\right)$$

Convert decimal number -0,05 to fraction -\frac{5}{100}. Reduce the fraction -\frac{5}{100} to lowest terms by extracting and canceling out 5.

$$196-\frac{2}{7}\left(-\frac{1}{20}\right)$$

Multiply \frac{2}{7} times -\frac{1}{20} by multiplying numerator times numerator and denominator times denominator.

$$196-\frac{2\left(-1\right)}{7\times 20}$$

Do the multiplications in the fraction \frac{2\left(-1\right)}{7\times 20}.

$$196-\frac{-2}{140}$$

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

$$196-\left(-\frac{1}{70}\right)$$

The opposite of -\frac{1}{70} is \frac{1}{70}.

$$196+\frac{1}{70}$$

Convert 196 to fraction \frac{13720}{70}.

$$\frac{13720}{70}+\frac{1}{70}$$

Since \frac{13720}{70} and \frac{1}{70} have the same denominator, add them by adding their numerators.

$$\frac{13720+1}{70}$$

Add 13720 and 1 to get 13721.

$$\frac{13721}{70}$$

Factor

$$\frac{13721}{2 \cdot 5 \cdot 7} = 196\frac{1}{70} = 196.0142857142857$$