130k views
3 votes
CAN SOMEONE PLS HELP QUICK

CAN SOMEONE PLS HELP QUICK-example-1

1 Answer

2 votes

Answer:


2(1)/(4)

Explanation:

Operations With Fractions

Simplify the following operations:


\displaystyle -5(1)/(4)-\left(-7(1)/(2)\right)

Convert the mixed fractions to improper fractions:


\displaystyle 5(1)/(4)= 5+(1)/(4)=(21)/(4)


\displaystyle 7(1)/(2)=7+(1)/(2)=(15)/(2)

Substituting:


\displaystyle -5(1)/(4)-\left(-7(1)/(2)\right)=-(21)/(4)-\left(-(15)/(2)\right)

Simplifying:


\displaystyle -5(1)/(4)-\left(-7(1)/(2)\right)=-(21)/(4)+(15)/(2)

Amplifying the second fraction by 2:


\displaystyle -5(1)/(4)-\left(-7(1)/(2)\right)=-(21)/(4)+(30)/(4)

Adding both fractions:


\displaystyle -5(1)/(4)-\left(-7(1)/(2)\right)=(9)/(4)=2(1)/(4)

Answer:
\mathbf{2(1)/(4)}

User Penina
by
4.8k points