kylemartinez13
29.01.2020 •
Mathematics
What is the slope of the line shown in the graph?
a. −1
b. −2
c. 2
d. 1/2
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Ответ:
a
Step-by-step explanation:
−7
12
÷
−3
21
=?
Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.
Take the reciprocal of the second fraction by flipping the numerator and denominator, leaving the negative sign on the numerator, and changing the operation to multiplication. Then the equation becomes
−7
12
×
−21
3
=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
−7×−21
12×3
=
147
36
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 147 and 36 using
GCF(147,36) = 3
147÷3
36÷3
=
49
12
The fraction
49
12
is the same as
49÷12
Convert to a mixed number using
long division for 49 ÷ 12 = 4R1, so
49
12
=4
1
12
Therefore:
−7
12
÷
−3
21
=4
1
12