Question

D. 12
Q1(B) - Solve the following questions : -
1. Express the following percentages as ratios in the reduced form : 10.5%​

Answer 1

Solution:-

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$\implies$ Here a percentage have been given to us that is 10.5%. Now the question has asked us to express the following percentage as ratios in the reduced form.

⛤ HOW TO DO:-

$\to$ Here to convert the given percentage into ratios first of all we need to remove the decimal point. When we will remove the decimal point we will have to 10 in the denominator. As percentage is calculated out of 100 we will divide it by 100. Then by simplifing it further we will get the answer. See the solution below for answer.

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ANSWER:-

⇉ 10.5% will be expressed as 21/200 in ratios.

GIVEN:-

» Percentage = 10.5%

TO FIND:-

• Here we have to express the given percentage as ratios in the reduced form.

SOLUTION:-

• Follow the steps below

We know that:-

1. We have to remove the decimal point.
2. As we remove the point there was a number after it so we will write 10 in 0.
3. Dividing by 100.
4. By simplifing it further we will get the answer.

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So let's solve it!

• Expressing the percentage as ratios:-

Removing the decimal point = 105/10

So,

➪ 105/10

Cancellig the terms by 5 = 21/2

So,

➪ 21/2

Dividing by 100 = 21/2 ÷ 100/1

So,

➪ 21/2 ÷ 100/1

Doing reciprocal = 21/2 × 1/100

So,

➪ 21/2 × 1/100

Multiplying = 21/2 × 1/100 = 21/200

So,

➪ 21/200

Final answer:- 21/200

Thus, we got the answer.

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