Question

Choice equivalent to the expression below 7 3/4 / 1/4=

equivalent to which one 31/16 , 14.0, 21.0, 31.0, 33.0

Answer 1

`\displaystyle (7(3)/(4))/((1)/(4))=31`

Explanation:

Fractions

We are given the expression:

`\displaystyle (7(3)/(4))/((1)/(4))`

We'll find an equivalent expression that results when simplifying the given fraction.

The numerator is a mixed fraction, which we'll convert into an improper fraction as follows:

`7(3)/(4)=7+(3)/(4)=(4*7+3)/(4)=(31)/(4)`

Now it follows:

`\displaystyle (7(3)/(4))/((1)/(4))=((31)/(4))/((1)/(4))`

Instead of dividing fraction, we multiply by the reciprocal of the denominator:

`\displaystyle (7(3)/(4))/((1)/(4))=(31)/(4)\cdot (4)/(1)`

Simplifying:

`\mathbf{\displaystyle (7(3)/(4))/((1)/(4))=31}`