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5 5/8 divided by 3 3/4 in simplest form

User SeanJ
by
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1 Answer

5 votes

Answer:

5 5/8 divided by 3 3/4 simplifies to 3/2.

Explanation:

To divide 5 5/8 by 3 3/4, we need to convert both mixed numbers to improper fractions.

First, let's convert 5 5/8 to an improper fraction:

5 5/8 = (5 * 8 + 5) / 8 = 45/8

Next, let's convert 3 3/4 to an improper fraction:

3 3/4 = (3 * 4 + 3) / 4 = 15/4

Now, we can divide the two improper fractions:

(45/8) / (15/4)

To divide fractions, we can multiply the first fraction by the reciprocal (or inverse) of the second fraction:

(45/8) * (4/15)

Simplifying the expression, we have:

(45 * 4) / (8 * 15) = 180/120

Finally, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 60:

180/120 = (180 ÷ 60) / (120 ÷ 60) = 3/2

Therefore, 5 5/8 divided by 3 3/4 simplifies to 3/2.

Nice...!

User Ilya Lavrov
by
8.2k points

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