Question

How many three-eighths are in three and three-fourths

Answer 1

`(3)/(8)` can go into
`3(3)/(4)` exactly 10 times.

Explanation:

1. Convert the mixed number to an improper fraction:
   `3(3)/(4)=(15)/(4)` (found by multiplying the denominator by the coefficient and adding the numerator)
2. Divide (multiply by the reciprocal):
   `(15)/(4)*(8)/(3)=(120)/(12)`
3. Simplify:
   `(120)/(12)=10`
4. Done!

Hope this helps!

Answer 2

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`(3 (3)/(4) )/( (3)/(8) ) = ( (12 + 3)/(4) )/( (3)/(8) ) = ( (15)/(4) )/( (3)/(8) ) = ( (15 * 2)/(4 * 2) )/( (3)/(8) ) = \\`

`( (30)/(8) )/( (3)/(8) ) = (30)/(8) / (3)/(8) = (30)/(8) * (8)/(3) = (30)/(3) = \\`

`10`

Thus there are (( 10 )) 3/8 in 3 3/4 .

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