Question

4 1/8÷2 3/4 convert the mixed numbers to improper fractions​

Answer 1

Check picture

Explanation:

Answer 2

9514 1404 393

Answer:

1 1/2

Explanation:

`(4(1)/(8))/(2(3)/(4))=(\left((4\cdot8+1)/(8)\right))/(\left((2\cdot4+3)/(4)\right))=(\left((33)/(8)\right))/(\left((11)/(4)\right))=(\left((33)/(8)\right))/(\left((22)/(8)\right))=(33)/(22)=(3)/(2)`

Then the improper fraction 3/2 can be written as the mixed number 1 1/2.

(4 1/8) / (2 3/4) = 1 1/2

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Comment on division of fractions

Fractions can be divided several ways. Two ways that are commonly taught are "invert and multiply", or "match denominators". Here, we have used the second of these methods.

If we were to "invert and multiply", the computation would be ...

(33/8)(4/11) = (33/11)(4/8) = 3(1/2) = 3/2

Instead, we multiplied 11/4 by 2/2 to make it be 22/8, so having a denominator of 8 matching that of the numerator. Then the value of the compound fraction is the ratio of the numerators:

(33/8)/(22/8) = 33/22 = (3/2)(11/11) = 3/2