Question

Perform the indicated operations; reduce the answer to the lowest terms. A. 3/10 + 6/10 b. 1/3 + 1/4 + 1/6 c. 5/6-3/6 d. 2/3-6/10 e. 4/10*3/7 f. 1/6*6/15 g. 1/8 divided by 4/9 h. 1/5 divided by 3/4

Answer 1

Answer with step-by-step explanation:

Reducing the given expressions to the lowest terms:

A. 3/10 + 6/10:
`\frac { 3 } { 10 } + \frac { 6 } { 10 } = \frac { 9 } { 10 }`

B. 1/3 + 1/4 + 1/6:
`\frac { 4 + 3 + 2 } { 12 } = \frac { 9 } { 12 } = \frac { 3 } { 4 }`

C. 5/6-3/6:
`\frac { 5 } { 6 } - \frac { 3 } { 6 } = \frac { 2 } { 6 } = \frac { 1 } { 3 }`

D. 2/3-6/10:
`(2)/(3) -(6)/(10) = (20-18)/(30) =(2)/(30) =(1)/(15)`

E. 4/10*3/7:
`(4)/(10) *(3)/(7) = (12)/(70)=(6)/(35)`

F. 1/6*6/15:
`(1)/(6) *(6)/(15) = (1)/(15)`

G. 1/8 divided by 4/9:
`((1)/(8) )/((4)/(9) ) =(1)/(8) *(9)/(4) =(9)/(32)`

H. 1/5 divided by 3/4:
`((1)/(5) )/((3)/(4) ) =(1)/(5) *(4)/(3) =(4)/(15)`

Answer 2

a. 9/10

b. 3/4

c. 1/3

d. 1/15

e. 6/35

f. 1/15

g. 9/32

h. 4/15

Explanation:

a.
`(3)/(10)+(6)/(10)=(9)/(10)`

b.
`(1)/(3)+(1)/(4)+(1)/(6)=(4)/(12)+(3)/(12)+(2)/(12)=(9)/(12)=(3)/(4)`

c.
`(5)/(6)-(3)/(6)=(2)/(6)=(1)/(3)`

d.
`(2)/(3)-(6)/(10)=(20)/(30)-(18)/(30)=(2)/(30)=(1)/(15)`

e.
`(4)/(10)*(3)/(7)=(12)/(70)=(6)/(35)`

f.
`(1)/(6)*(6)/(15)=(1)/(15)`

g.
`(1)/(8)/(4)/(9)=(1)/(8)*(9)/(4)=(9)/(32)`

h.
`(1)/(5)/(3)/(4)=(1)/(5)*(4)/(3)=(4)/(15)`