Question

2. Express 0.6 + 0. 7̅ + 0.47̅ in the form p

q

.

Answer 1

If your question is 0.6 + 0.7 + 0.47,this is the answer.

→ 0.6 + 0.7 + 0.47

→ 6/10 + 7/10 + 47/100

→ (60+70+47)/100

→ 177/100

==========================

If your question is 0.6 + 0.7(bar on 7) + 0.47(bar on 47),this is the answer.

First let's solve:-
0.7 (bar on 7)

Let x = 0.7(bar on 7)

x = 0.7777..... -------(1)

10×x = 10×0.7777...10x = 7.7777.... ------(2)

(2) - (1)

10x = 7.7777...
– x = 0.7777...
-------------------
9x = 7

x = 7/9

0.7(bar on 7) = 7/9

Now, solve 0.47 (bar on 47)

Let y = 0.47 (bar on 47)

y = 0.4747... ------(1)

100 × y = 100 × 0.4747...

100y = 47.4747.. -----(2)

(2) - (1)

100y = 47.4747...
–– y = 0.4747...
-------------------------
99y = 47

y = 47/99

0.47 (bar on 47) = 47/99

=======================
0.6 + 0.7(bar on 7) + 0.47(bar on 47)

→ 6/10 + 7/9 + 47/99

→ LCM is 990

→ 6/10×99/99 + 7/9×110/110 + 47/99×10/10

→ 594/990 + 770/990 + 470/990

→ (594+770+470)/990

→ 1834/990

→ 917/495

It's written in p/q form.

Hope it helps

Answer 2

Answer:

here is the answer above picture shows the answer is systematic form