Evaluate -4/5-3/8

Problem

−4/5−3/8

Solution

1. Find a common denominator by multiplying the denominators of the two fractions, which are 5 and 8

5×8=40

2. Rewrite the first fraction by multiplying both the numerator and the denominator by 8

−(4×8)/(5×8)=−32/40

3. Rewrite the second fraction by multiplying both the numerator and the denominator by 5

(3×5)/(8×5)=15/40

4. Subtract the numerators while keeping the common denominator.

−32/40−15/40=(−32−15)/40

5. Simplify the numerator by combining the negative values.

−32−15=−47

Final Answer

−4/5−3/8=−47/40

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