add and subtract the following fraction write your answer in simplest form 2 1/4 3 2/4​

The sum of 2 1/4 and 3 2/4 is 5 3/4  while their difference is -1 1/4 To add them, first convert it to improper.  To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction, then add the numerator of the fraction, and keep the same denominator. [tex]2\frac{1}{4} +3\frac{2}{4}[/tex][tex]2\frac{1}{4}[/tex]=4 x 2 +1 =9 (numerator)=4 (retain denominator)=9/4[tex]3\frac{2}{4}[/tex]= 4 x 3 + 2 =14 (numerator)=4 (retain denominator)=14/4Now, Just add the numerators and retain the denominator[tex]\frac{9}{4} + \frac{14}{4} = \frac{9+14}{4} =\frac{23}{4}[/tex]To convert an improper fraction to a mixed number, you divide the numerator by the denominator. The quotient becomes the whole number part of the mixed number, and the remainder becomes the new numerator, with the original denominator remaining the same. 23/423÷4 = 5(whole number)23-(4 x 5) = 3 (new numerator)4 (retain denominator)=[tex]5\frac{3}{4}[/tex]Therefore, the sum of the given problem is 23/4 or 5 3/4Now to find, the difference, we'll go through the same process. Since we already converted it into improper fraction. We'll just use that and change the sign.9/4-14/4[tex]\frac{9}{4} - \frac{14}{4} = \frac{9-14}{4} =\frac{-5}{4}[/tex]=-5/4To convert to mixed fraction, same process= -1 1/4Therefore, the difference of the given problem is -5/4 or -1 1/4

Answered by keinasour | 2025-07-27