Question

express each of the following decimals in p/q from where q not = 0 and p,q are integers
1) 0.36
2) 15.4
3)10.25
4)3.25

Answer 1

✾ Answer of your question ✾

✔ ATQ, we have to Express the following numbers as Rational numbers { p\q where p & q are integers and q is not equal to 0 as Division by 0 is not defined}

● 0.36

→ 3 × 1\ 10 + 6 × 1\100
→ 3\10 + 6\ 100. [ L.C.M = 100]
→ 30\100 + 6\100
→ 36\100

● 15.4

→ 15 + 4 × 1\10
→ 15 + 4\10 [ L.C.M = 10 ]
→ 150\10 + 4\10
→ 154\10

● 10.25

→ 10 + 2 × 1\10 + 5 × 1\100
→ 10 + 2\10 + 5\100. [ L.C.M = 100 ]
→ 1000\100 + 20\100 + 5\100
→ 1025\ 100.

● 3.25

→ 3 + 2 × 1\10 + 5\100
→ 3 + 2\10 + 5\100. [ L.C.M = 100]
→ 300\100 + 20\100 + 5\100
→ 325\100


Hope my answer will help you ♡♡
Have a great day ahead ♡(^.^)/

Answer 2

Here, we have to convert the decimal numbers into rational numbers.

i.e. p / q 【 where q ≠ 0 】

Solution »

❖ 0.36

= 0.3 + 0.06
= 3 × 1 / 10 + 6 × 1 / 100
= 3 / 10 + 6 / 100 【LCM = 100】
= 30 / 100 + 6 / 100
= (30 + 6) / 100
= 36 / 100

❖ 15.4

= 15 + 0.4
= 15 + 4 × 1 / 10
= 15 + 4 / 10 【LCM = 10】
= 150 / 10 + 4 / 10
= (150 + 4) / 10
= 154 / 10

❖ 10.25

= 10 + 0.2 + 0.05
= 10 + 2 × 1 / 10 + 5 × 1 / 100
= 10 + 2 / 10 + 5 / 100【LCM = 100】
= 1000 / 100 + 20 / 100 + 5 / 100
= (1000 + 20 + 5) / 100
= 1025 / 100

❖ 3.25

= 3 + 0.2 + 0.05
= 3 + 2 × 1 / 10 + 5 × 1 / 100
= 3 + 2 / 10 + 5 / 100 【LCM = 100】
= 300 / 100 + 20 / 100 + 5 / 100
= (300 + 20 + 5) / 100
= 325 / 100

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