find the quotient of 3/8 and 4/9
Answers
Answer:
Unary minus: -3/
8
= -3/
8
Multiple: the result of step No. 1 * (-4) = -3/
8
* (-4) = -3 · (-4)/
8 · 1
= 12/
8
= 3 · 4/
2 · 4
= 3/
2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(12, 8) = 4. In the next intermediate step , cancel by a common factor of 4 gives 3/
2
.
In words - minus three eighths multiplied by minus four = three halfs.
Divide: the result of step No. 2 : 9 = 3/
2
: 9 = 3/
2
· 1/
9
= 3 · 1/
2 · 9
= 3/
18
= 3 · 1/
3 · 6
= 1/
6
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 9/
1
is 1/
9
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 3 gives 1/
6
.
In words - three halfs divided by nine = one sixth.
Answer:
The answer is 27/32
Step-by-step explanation:
3/8 divided by 4/9
Now we will multiply 3/8 by the reciprocal of 4/9 which will be= 3/8*9/4
The answer of this would be 27/32
Hope this helps you :)
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