Question

find the sum of -4 1/2 and -7 3/4 ​

Answer 1

Step-by-step explanation:

-9/2 + (-31/4)

= -9/2 - 31/4

= -49/4

= -12 1/4

Answer 2

To find : sum of given mixed fractions

Given : $(-4 \frac{1}{2}) + (-7\frac{3}{4} )$

Solution :

• Firstly we convert given mixed fraction into improper fraction .
• $-4 \frac{1}{2} = \frac{-9}{2}$  and  $-7\frac{3}{4}$ = $\frac{-31}{4}$
• Now , we find sum of $\frac{-9}{2}$ and $\frac{-31}{4}$
• To find the sum of given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM
• Therefore, LCM = $4$
• Now, multiplying numerators of both rational numbers by same number as multiplied by denominators to make LCM.
• $(\frac{-9}{2}) + (\frac{-31}{4} )$

       $= \frac{-18-31}{4} \\= \frac{-49}{4}$

Hence , sum of $(-4 \frac{1}{2})$ and $(-7\frac{3}{4} )$ is $\frac{-49}{4}$ .