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Solve the following problems. Reduce your answers to their simplest form.

a. 13/41 + 27/82
b. 3 5/24 + 6 7/24 + 4 9/24
C. 5 2/3 + 29/69 + 6 21/23
d. 3 9/10 + 4/9 + 7/45 + 4
e. 6 - 7/15
f. 11 3/8 - 7/8
g. 7 1/6 - 3 4/9
h. 5 3/8 - 3 2/5

2 Answers

5 votes

Answer:

a. 53/82

b. 13 7/8

c. 12 16/23

d. 8 1/2

e. 5 8/15

f. 10 1/2

g. 3 13/18

h. 1 39/40

Explanation:

User XCool
by
7.9k points
4 votes

Explanation:

a. 13/41 + 27/82


(13)/(41)+(27)/(82)


(13* 82+27* 41)/(82* 41)=(53)/(82)

b.
3(5)/(24) + 6(7)/(24) + 4(9)/(24)


(77)/(24)+(151)/(24)+(105)/(24)


(77+151+105)/(24)=(333)/(24)

c)
5(2)/(3) + (29)/(69) + 6 (21)/(23)


(17)/(3)+(29)/(69) +(159)/(23)


(17* 23)/(3* 23)+(29)/(69) +(159* 3)/(23* 3)


(17* 23+29+159* 3)/(69)=(897)/(69)=(13)/(1)

d)
3(9)/(10) + (4)/(9) + (7)/(45) + 4


(39)/(10) + (4)/(9) + (7)/(45) + (4)/(1)


(39)/(10) +(4* 10)/(1* 10)+(4* 5)/(9* 5) + (7)/(45)


(39+1* 10)/(10)+ +(4* 5+7)/(45)


(49)/(10)+(27)/(45)


(49* 45+27* 10)/(10* 45)=(11)/(2)

e)
6-(7)/(15)


(6)/(1)--(7)/(15)


(6* 15-7* 1)/(1* 15)=(83)/(15)

f)
11(3)/(8) - (7)/(8)


(91)/(8)- (7)/(8)


(91-7)/(8)=(84)/(8)=(21)/(2)

g)
7 (1)/(6) - 3(4)/(9)


(43)/(6)-(41)/(9)


(43* 9-41* 6)/(54)


=(141)/(54)=(47)/(18)

h)
5(3)/(8)-3(2)/(5)


(43)/(8)-(17)/(5)


(43* 5-17* 8)/(8* 5)=(79)/(40)

User Emmie
by
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