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28 votes
28 votes
Subtract -3/7 - 1/2

Answer as a MIXED NUMBER or IMPROPER FRACTION

User Cherubim
by
2.6k points

1 Answer

9 votes
9 votes

Answer:

- 13

4

Explanation:

-3 - 1

7 2

= -3 × 2 - 1 × 7

7 × 2 2 × 7

= – 67

14 14

= –6 – 7

14

= – 13

14

Further explanation

For the problem:

-31 = ?

7 2

The Least Common Multiple (LCM) of 7 and 2 is 14. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM:

-31

7 2

= -3 × 21 × 7

7 × 2 2 × 7

= –67

14 14

Now that the fractions have like denominators, subtract the numerators:

-67

14 14

= -6 – 7

14

= –13

14

The result is:

-31

7 2

= –13

14

User Bikas Lin
by
2.6k points