Question

Nx4/5=3/4

Answers
A. N=1/2
B. N=15/16
C. N=1 2/3


D/5=4
Answers
A. D=20
B. D=4/5
C. D=5/4


2 1/4 r=10
Answers
A. r=4 3/4
B. R=4 2/5
C. R=4 4/9


H/26=5
Answers
H=120
H=130
H=140


6/7k=6
K=7
K=6 6/7
K=6

Answer 1

1. B

2. A

3. C

4. B

5. A

Step-by-step explanation:

To solve equations with fractions, convert from a mixed number to an improper fraction then use the inverse. The inverse of a fraction is multiplying by the reciprocal of the fraction on both sides.

1.

`N(4)/(5)=(3)/(4)\\\\(5)/(4)*(4)/(5)N=(3)/(4)*(5)/(4)\\\\N=(15)/(16)`

2.

`(D)/(5)=4\\\\(5)/(1) *(D)/(5)=4*(5)/(1)\\\\D=20`

3.

`2(1)/(4)r=10\\\\(9)/(4)r=10\\\\(4)/(9) *(9)/(4)r=10*(4)/(9)\\\\r=(40)/(9) \\\\r=4(4)/(9)`

4.

`(h)/(26)=5\\\\(26)/(1) *(h)/(26)=5*(26)/(1)\\\\h=130`

5.

`(6)/(7)k=6\\\\(7)/(6) *(6)/(7)k=6*(7)/(6)\\\\k=(42)/(6) \\\\k=7`