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emmasim [6.3K]
1 year ago
10

How can I solve ¾ - (-5/12)?

Mathematics
1 answer:
Oksana_A [137]1 year ago
8 0

Answer:

1 \frac{1}{6}

Step-by-step explanation:

\frac{3}{4}+ \frac{5}{12} =?\\

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

(\frac{3}{4} × \frac{3}{3} ) + (\frac{5}{12} ×\frac{1}{1})=?

Complete the multiplication and the equation becomes

\frac{9}{12} + \frac{5}{12}

The two fractions now have like denominators so you can add the numerators.

\frac{9+5}{12} = \frac{14}{12}

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using

GCF(14,12) = 2

14÷2 / 12÷2 =7/6

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= 1 \frac{1}{6}

Therefore:

3/4 − (−5/12) = 1 \frac{1}{6}

Solution by Formulas

Apply the fractions formula for subtraction, to

3/4 − (−5/12)

and solve

(3×12) − (−5×4) 4×12

=3/6− (−20/48)

=56/48

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8

56÷8 / 48÷8 =7/6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= 1 \frac{1}{6}

Therefore:

3/4 − (-5/12) = 1 \frac{1}{6}

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