how do you divide a mixed fraction by another mixed fraction?
Answers & Comments
yheen3x
To divide one mixed fraction by another mixed fraction, you can follow these steps:
1. Convert both mixed fractions to improper fractions. 2. Invert the second improper fraction by swapping the numerator and denominator. 3. Multiply the first improper fraction by the inverted second improper fraction. 4. Simplify the resulting improper fraction, if possible. 5. Convert the simplified improper fraction back into a mixed fraction, if necessary.
Here is an example:
(3 1/4) ÷ (2 2/3)
Step 1: Convert both mixed fractions to improper fractions.
(3 1/4) becomes (13/4) (2 2/3) becomes (8/3)
Step 2: Invert the second improper fraction by swapping the numerator and denominator.
(8/3) becomes (3/8)
Step 3: Multiply the first improper fraction by the inverted second improper fraction.
(13/4) x (3/8) = (39/32)
Step 4: Simplify the resulting improper fraction, if possible.
39 and 32 have no common factors other than 1, so the fraction is already in simplest form.
Step 5: Convert the resulting improper fraction back into a mixed fraction, if necessary.
(39/32) can be written as (1 7/32), so the final answer is:
(3 1/4) ÷ (2 2/3) = (1 7/32)
1 votes Thanks 1
MikotoTsukuyomi
thanks, my friend needed it but I didn't know the answer
Answers & Comments
1. Convert both mixed fractions to improper fractions.
2. Invert the second improper fraction by swapping the numerator and denominator.
3. Multiply the first improper fraction by the inverted second improper fraction.
4. Simplify the resulting improper fraction, if possible.
5. Convert the simplified improper fraction back into a mixed fraction, if necessary.
Here is an example:
(3 1/4) ÷ (2 2/3)
Step 1: Convert both mixed fractions to improper fractions.
(3 1/4) becomes (13/4)
(2 2/3) becomes (8/3)
Step 2: Invert the second improper fraction by swapping the numerator and denominator.
(8/3) becomes (3/8)
Step 3: Multiply the first improper fraction by the inverted second improper fraction.
(13/4) x (3/8) = (39/32)
Step 4: Simplify the resulting improper fraction, if possible.
39 and 32 have no common factors other than 1, so the fraction is already in simplest form.
Step 5: Convert the resulting improper fraction back into a mixed fraction, if necessary.
(39/32) can be written as (1 7/32), so the final answer is:
(3 1/4) ÷ (2 2/3) = (1 7/32)