Solve 3,75--14/15=

$$3,75 - \frac { - 14 } { 15 } =$$

Evaluate

$$\frac{281}{60}\approx 4,683333333$$

Solution Steps

Fraction \frac{-14}{15} can be rewritten as -\frac{14}{15} by extracting the negative sign.

$$3,75-\left(-\frac{14}{15}\right)$$

The opposite of -\frac{14}{15} is \frac{14}{15}.

$$3,75+\frac{14}{15}$$

Convert decimal number 3,75 to fraction \frac{375}{100}. Reduce the fraction \frac{375}{100} to lowest terms by extracting and canceling out 25.

$$\frac{15}{4}+\frac{14}{15}$$

Least common multiple of 4 and 15 is 60. Convert \frac{15}{4} and \frac{14}{15} to fractions with denominator 60.

$$\frac{225}{60}+\frac{56}{60}$$

Since \frac{225}{60} and \frac{56}{60} have the same denominator, add them by adding their numerators.

$$\frac{225+56}{60}$$

Add 225 and 56 to get 281.

$$\frac{281}{60}$$

Factor

$$\frac{281}{3 \cdot 5 \cdot 2 ^ {2}} = 4\frac{41}{60} = 4.683333333333334$$