Solve (-1516/25:4,6+7,1):(-0,37)=

$$( - 15 \frac { 16 } { 25 } : 4,6 + 7,1 ) : ( - 0,37 ) =$$

Evaluate

$$-10$$

Solution Steps

Multiply 15 and 25 to get 375.

$$\frac{\frac{-\frac{375+16}{25}}{4,6}+7,1}{-0,37}$$

Add 375 and 16 to get 391.

$$\frac{\frac{-\frac{391}{25}}{4,6}+7,1}{-0,37}$$

Express \frac{-\frac{391}{25}}{4,6} as a single fraction.

$$\frac{\frac{-391}{25\times 4,6}+7,1}{-0,37}$$

Multiply 25 and 4,6 to get 115.

$$\frac{\frac{-391}{115}+7,1}{-0,37}$$

Reduce the fraction \frac{-391}{115} to lowest terms by extracting and canceling out 23.

$$\frac{-\frac{17}{5}+7,1}{-0,37}$$

Convert decimal number 7,1 to fraction \frac{71}{10}.

$$\frac{-\frac{17}{5}+\frac{71}{10}}{-0,37}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{17}{5} and \frac{71}{10} to fractions with denominator 10.

$$\frac{-\frac{34}{10}+\frac{71}{10}}{-0,37}$$

Since -\frac{34}{10} and \frac{71}{10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{-34+71}{10}}{-0,37}$$

Add -34 and 71 to get 37.

$$\frac{\frac{37}{10}}{-0,37}$$

Express \frac{\frac{37}{10}}{-0,37} as a single fraction.

$$\frac{37}{10\left(-0,37\right)}$$

Multiply 10 and -0,37 to get -3,7.

$$\frac{37}{-3,7}$$

Expand \frac{37}{-3,7} by multiplying both numerator and the denominator by 10.

$$\frac{370}{-37}$$

Divide 370 by -37 to get -10.

$$-10$$

Factor

$$-10$$