Answer: 1 5/7
Step-by-step explanation:
First lets simplify 2/5x1/4,
-> 8/20x5/20
-> 40/20
-> 4/2
Now lets calculate:
42÷−7−6=?
In the second fraction, the negative numerator and negative denominator cancel each other.
The equivalent equation is
42÷76=?
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 and changing the operation to multiplication. Then the equation becomes
42×67=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
4×62×7=2414
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 24 and 14 using
GCF(24,14) = 2
24÷214÷2=127
The fraction
127
is the same as
12÷7
Convert to a mixed number using
long division for 12 ÷ 7 = 1R5, so
127=157
Therefore:
42÷−7−6=157
Solution by Formulas
Apply the fractions formula for division, to
42÷−7−6
and solve
4×−62×−7
=−24−14
A negative over a negative becomes positive
=2414
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(24,14) = 2
24÷214÷2=127
Convert to a mixed number using
long division for 12 ÷ 7 = 1R5, so
127=157
Therefore:
42÷−7−6=1 5/7
(Sorry for the 157s I meant 1 5/7)
