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4 1/2 ÷ 2 7/10 answer in simplest format

User Gifted
by
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2 Answers

2 votes

Answer:

1 2/3

Explanation:

4 1/2 ÷ 2 7/10

change to improper fractions

9/2 ÷ 27/10

find the reciprocal of the divisor(27/10), then proceed to multiplication

9/2 x 10/27

you can do some cancellation or just multiply numerator by another numerator and denominator by another denominator then simplify

90/54 or 1 36/54 or 1 2/3

User Philip Holly
by
8.2k points
2 votes
To divide 4 1/2 by 2 7/10, we need to convert both mixed numbers to improper fractions.

4 1/2 can be written as an improper fraction as (4 * 2 + 1) / 2 = 9/2
2 7/10 can be written as an improper fraction as (2 * 10 + 7) / 10 = 27/10

Now, we can divide the two fractions:

(9/2) ÷ (27/10)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

(9/2) * (10/27)

Multiplying the numerators (9 * 10) and the denominators (2 * 27), we get:

90/54

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor, which is 18:

90/54 = (90/18) / (54/18) = 5/3

Therefore, 4 1/2 ÷ 2 7/10 simplified is equal to 5/3.
User Jiri Kriz
by
8.8k points

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