Solve -30+10(4.36/13.6)

$$-30+10( \frac{ 4.36 }{ 13.6 } )$$

Evaluate

$$-\frac{911}{34}\approx -26.794117647$$

Solution Steps

Expand \frac{4.36}{13.6} by multiplying both numerator and the denominator by 100.

$$-30+10\times \frac{436}{1360}$$

Reduce the fraction \frac{436}{1360} to lowest terms by extracting and canceling out 4.

$$-30+10\times \frac{109}{340}$$

Express 10\times \frac{109}{340} as a single fraction.

$$-30+\frac{10\times 109}{340}$$

Multiply 10 and 109 to get 1090.

$$-30+\frac{1090}{340}$$

Reduce the fraction \frac{1090}{340} to lowest terms by extracting and canceling out 10.

$$-30+\frac{109}{34}$$

Convert -30 to fraction -\frac{1020}{34}.

$$-\frac{1020}{34}+\frac{109}{34}$$

Since -\frac{1020}{34} and \frac{109}{34} have the same denominator, add them by adding their numerators.

$$\frac{-1020+109}{34}$$

Add -1020 and 109 to get -911.

$$-\frac{911}{34}$$

Factor

$$-\frac{911}{34} = -26\frac{27}{34} = -26.794117647058822$$