Question

Subtract 7 1/4 - 4 3/4 simplify the answer and write as a mixed number .122 1/21/43 1/2

Answer 1

The simplified fraction is 2 1/2

Explanation:

`\begin{gathered} \text{Substract 7}(1)/(4)\text{ - 4}(3)/(4) \\ \text{Step 1: convert the mixed fraction into an improper fraction} \\ 7(1)/(4)\text{ = }\frac{(7\text{ x 4) + 1}}{4} \\ 7(1)/(4)\text{ = }(29)/(4) \\ \\ 4(3)/(4)\text{ = }((4\cdot4)+3)/(4) \\ 4(3)/(4)\text{ = }(19)/(4) \\ We\text{ have} \\ (29)/(4)\text{ - }(19)/(4) \\ \text{ Find the common denominator} \\ \text{The common denominator is 4} \\ \frac{29\text{ - 19}}{4} \\ =\text{ }(10)/(4) \\ =\text{ }(5)/(2) \\ =\text{ 2}(1)/(2) \\ \text{Hence, the answer is 2}(1)/(2) \end{gathered}`