What is 2 7/8 -: 5/6278÷56?

3 Answers
Josh Tran
Apr 27, 2018

69/206920

Explanation:

In order to divide fractions, we must first convert each term into an improper fraction:

27/878 = 23/8238

Next, we must reciprocate the divisor by swapping the numerator and the denominator and multiply the dividend and the reciprocated divisor:

23/8238 x 6/565 = 138/4013840

Finally, we simplify the fraction by dividing the numerator and the denominator by their greatest common factor (2):

(138/2)/(40/2)1382402 = 69/206920

EZ as pi
Apr 27, 2018

=3 9/20=3920

Explanation:

Change mixed numbers to improper fractions first:

2 7/8 div5/6278÷56

=23/8 div 5/6=238÷56

= 23/8 xx 6/5" "larr=238×65 ← simplify by cancelling first

= 23/cancel8_4 xx cancel6^3/5

=69/20

=3 9/20

Zainab B.
Apr 27, 2018

69/20=3 9/20

Explanation:

2 7/8-:5/6

23/8-:5/6

23/8*6/5

69/20=3 9/20

  1. Convert the mixed number to an improper fraction. In this case, 2 7/8 is the mixed number, so convert that to an improper fraction, which would be 23/8
  2. Divide the fractions by multiplying by the reciprocal of the second term. In this case the second term is 5/6. So, you would multiply 23/8 by 6/5 to get the answer.
  3. Convert the final answer to a mixed number if necessary.
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