Answer:
1.) 3
2.) ⅔
3.) ⅘
4.) 80
5.) 1/15
Step-by-step explanation:
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
6/8 x 4/1 =?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
6 x 4 =24
--------------
8 x 1 = 8
Since 24 divided by 8 equals 3 then,
24/8 = 3
Therefore:
6/8 ÷ ¼ = 3
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
4/9 x 3/2 =?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
4 x 3 = 12
--------------
9 x 2 =18
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 12 and 18 using
GCF(12,18) = 6
12 ÷ 6
--------- = ⅔
18 ÷ 6
Therefore:
4/9 ÷ ⅔ = ⅔
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
3/6 x 8/5 =?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
3 x 8 24
-------- = ----
6 x 5 30
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 24 and 30 using
GCF(24,30) = 6
24 ÷ 6
--------- = ⅘
30 ÷ 6
Therefore:
3/6 ÷ ⅝ =⅘
Convert any mixed numbers to fractions.
Then your initial equation becomes:
20/1 ÷ ¼
Applying the fractions formula for division,
20 x 4
= ---------
1 x 1
= 80/1
Simplifying 80/1, the answer is
=80
Convert any mixed numbers to fractions.
Then your initial equation becomes:
⅘ ÷ 12/1
Applying the fractions formula for division,
4 x 1
= --------
5 x 12
=4/60
Simplifying 4/60, the answer is
1/15
