Question

Compute 3/8 / 1 1/4

Which is the quotient in simplest form?
A. 3 1/3
B. 2 2/15
C. 3/10
D. 7/13
E. 15/32

Answer 1

b

Explanation:

boi

Answer 2

The quotient of
`$\frac38/1\frac14$` is
`$\boxed{\frac3{10}}$` and the correct option is C.

1. Convert the mixed number to a fraction.

To convert the mixed number
`$1(1)/(4)$` to a fraction, we multiply the whole part of the mixed number by the denominator of the fractional part and add the numerator of the fractional part. This gives us
`$1\cdot4+1=5$`. So,
`$1(1)/(4)=(5)/(4)$`.

2. Rewrite the division problem as multiplication by the reciprocal.

To divide by a fraction, we multiply by the reciprocal of the fraction. The reciprocal of
`$(5)/(4)$ is $(4)/(5)$`.

Therefore,
`$(3)/(8)/(5)/(4)=(3)/(8)\cdot(4)/(5)$`.

3. Multiply the two fractions.

To multiply two fractions, we multiply the numerators and the denominators. This gives us:

`\[(3)/(8)\cdot(4)/(5)=(3\cdot 4)/(8\cdot 5)=(12)/(40)\]`

4. Simplify the fraction.

We can simplify
`$(12)/(40)$` by dividing the numerator and denominator by 4. This gives us:
`\[(12/4)/(40/4)=\boxed{(3)/(10)}\]` and the correct option is C.