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7 votes
7 votes
3 3/10 divied by 1 4/7 in lowest terms

User Jeanclaude
by
2.8k points

1 Answer

23 votes
23 votes

Answer:

Explanation:

The answer is
(21)/(10) or 2
(1)/(10) or 2.1.

Depending on what form your answer needs to be in, it can be one of those.

Explanation:

  • Turn both the mixed numbers into improper fractions. To do this, take the outside number and multiply it by the denominator. Then, add that number to the numerator. For this specific question, you would take 3×10 (because 10 is the denominator) and add it to the numerator, 3, giving the improper fraction
    (33)/(10). Doing the same to the divisor, you would get
    (11)/(4).
  • Next, take the divisor (
    (11)/(7)) and turn it into the reciprocal ("flip" the fraction), making it
    (7)/(11).
  • Now, simply multiply the dividend (
    (33)/(10)) to the reciprocal of the divisor (
    (4)/(11)).

So, your new equation is a much easier
(33)/(10)×
(7)/(11)=
(231)/(110). These both are reducable by 11, therefore giving you the final answer of
(21)/(10).

Note: Upon reaching this step, you can simplify 33 into 3×11, then divide out the 11 from the numerator and the denominator making it a much easier problem to simplify. Hope this helps!

User SQDK
by
2.5k points