Convert Fraction to Decimal: Solving 61/100 Step-by-Step

Q: Why does dividing by 100 move the decimal two places left?

Because 100 has two zeros! Each zero represents one decimal place. So $ \frac{61}{100} $ means 61 hundredths, which is 0.61.

Q: What if I get confused about which direction to move the decimal?

Remember: dividing by powers of 10 makes numbers smaller, so the decimal moves left. Multiplying makes them bigger, so it moves right.

Q: Do I need to keep the zero at the end like 0.610?

No! Trailing zeros after the decimal point can be dropped unless you need to show a specific level of precision. So 0.610 = 0.61.

Q: How is this different from fractions with other denominators?

Denominators like 10, 100, 1000 are special because they convert directly to decimals by moving the decimal point. Other denominators need long division.

Decimal Conversion with Denominator 100

Write the following fraction as a decimal:

$\frac{61}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:03 In a decimal fraction, take the numerator as a number

00:06 According to the denominator, move the decimal point

00:10 When the denominator equals 100, move the decimal point twice to the left

00:18 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following fraction as a decimal:

$\frac{61}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$61.0$

Since the fraction divides by 100, we'll move the decimal point once to the left and get:

$.610$

We'll add the zero before the decimal point and get:

$0.610=0.61$

Final Answer

0.61

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Denominator 100 means hundredths place decimal position
Technique: Move decimal point two places left: $61 \rightarrow 0.61$
Check: Count decimal places matches zeros in denominator: 100 has 2 zeros, answer has 2 places ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point only one place instead of two
Don't move the decimal just one place left for 61/100 = 6.1! This ignores that 100 has two zeros, giving a result 10 times too large. Always move the decimal point the same number of places as zeros in the denominator.

Practice Quiz

Test your knowledge with interactive questions

Write the following fraction as a decimal:

$\frac{5}{100}=$

FAQ

Everything you need to know about this question

Why does dividing by 100 move the decimal two places left?

Because 100 has two zeros! Each zero represents one decimal place. So $\frac{61}{100}$ means 61 hundredths, which is 0.61.

What if I get confused about which direction to move the decimal?

Remember: dividing by powers of 10 makes numbers smaller, so the decimal moves left. Multiplying makes them bigger, so it moves right.

Do I need to keep the zero at the end like 0.610?

No! Trailing zeros after the decimal point can be dropped unless you need to show a specific level of precision. So 0.610 = 0.61.

How is this different from fractions with other denominators?

Denominators like 10, 100, 1000 are special because they convert directly to decimals by moving the decimal point. Other denominators need long division.

What if the numerator has more digits than the denominator has zeros?

You still move the decimal the same number of places! For example: $\frac{1234}{100} = 12.34$ (moved 2 places left from 1234).

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