Question

Express the following in the form of p/q 0.53
4.32
0.407
1.323
0.3178

Answer 1

Answer:

1.x=0.5333333....

10x=5.33333...1

100x=53.333333....2

subtracting 1 and 2

100x-10x=53.3333- 5.33333

90x=48

45x=24

x=24/45

0.533333=24/45

2. x=4.32222222....

10x=43.222222....1

100x=432.2222.....2

subtracting 1 and 2

100x-10x=432.22222-43.22222

90x=389

x=389/90

4.322222=389/80

3.x=0.40707070707.....

10x=4.07070707......1

100x=40.7070707......

1000x=407.070707....2

subtracting 1 and 2

1000x-10x=407.070707- 4.070707

990x=403

x=403/990

0.4070707=403/990

4. x=1.3232323....1

10x=13.232323....

100x=132.323232....2

subtracting 1 and 2

100x-10x=132.323232- 1.323232

90x=131

x=131/90

1.3232323=131/90

5. x=0.3178178178......

10x=3.178178......1

100x=31.78178178.....

1000x=317.8178178......

10000x=3178.178178.....2

10000x-10x=3178.178178-3.178178

990x=3175

x=635/198

0.3178178=635/198