Solve 3/16+1/16*(0,312:0,3-3,15*1,6)

$$\frac { 3 } { 16 } + \frac { 1 } { 16 } \cdot ( 0,312 : 0,3 - 3,15 \cdot 1,6 )$$

Evaluate

$$-0,0625$$

Solution Steps

Expand \frac{0,312}{0,3} by multiplying both numerator and the denominator by 1000.

$$\frac{3}{16}+\frac{1}{16}\left(\frac{312}{300}-3,15\times 1,6\right)$$

Reduce the fraction \frac{312}{300} to lowest terms by extracting and canceling out 12.

$$\frac{3}{16}+\frac{1}{16}\left(\frac{26}{25}-3,15\times 1,6\right)$$

Multiply 3,15 and 1,6 to get 5,04.

$$\frac{3}{16}+\frac{1}{16}\left(\frac{26}{25}-5,04\right)$$

Convert decimal number 5,04 to fraction \frac{504}{100}. Reduce the fraction \frac{504}{100} to lowest terms by extracting and canceling out 4.

$$\frac{3}{16}+\frac{1}{16}\left(\frac{26}{25}-\frac{126}{25}\right)$$

Since \frac{26}{25} and \frac{126}{25} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{16}+\frac{1}{16}\times \frac{26-126}{25}$$

Subtract 126 from 26 to get -100.

$$\frac{3}{16}+\frac{1}{16}\times \frac{-100}{25}$$

Divide -100 by 25 to get -4.

$$\frac{3}{16}+\frac{1}{16}\left(-4\right)$$

Multiply \frac{1}{16} and -4 to get \frac{-4}{16}.

$$\frac{3}{16}+\frac{-4}{16}$$

Reduce the fraction \frac{-4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{3}{16}-\frac{1}{4}$$

Least common multiple of 16 and 4 is 16. Convert \frac{3}{16} and \frac{1}{4} to fractions with denominator 16.

$$\frac{3}{16}-\frac{4}{16}$$

Since \frac{3}{16} and \frac{4}{16} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-4}{16}$$

Subtract 4 from 3 to get -1.

$$-\frac{1}{16}$$

Factor

$$-0,0625$$