Convert Fraction to Decimal: Solving 93/100 Step by Step

Q: Why does the decimal point move left instead of right?

Because division makes numbers smaller! When you divide 93 by 100, you're making it 100 times smaller, so the decimal moves left two places (one for each zero in 100).

Q: What if the numerator has fewer digits than zeros in the denominator?

Add leading zeros! For example, $ \frac{7}{100} $ becomes 0.07 because you need two decimal places but 7 only has one digit.

Q: How do I remember which way to move the decimal point?

Think: "Dividing makes smaller, so decimal goes left." Count the zeros in the denominator - that's how many places to move left!

Q: What if the denominator isn't 10, 100, or 1000?

Then you need to use long division or convert to an equivalent fraction with a power of 10 denominator. The decimal point shortcut only works with denominators like 10, 100, 1000, etc.

Fraction Conversion with Powers of Ten

Convert to a decimal fraction $\frac{93}{100}$

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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 Based on the number of zeros in the denominator, we'll know how many places to move the decimal point to the left:

00:07 There are two zeros in the denominator, so we'll move the decimal point twice to the left

00:11 Place the numerator in the appropriate position after the decimal point

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

Convert to a decimal fraction $\frac{93}{100}$

Step-by-step solution

To convert the fraction $\frac{93}{100}$ into a decimal, follow these steps:

Step 1: Recognize that the fraction's denominator is 100, which is $10^2$ .
Step 2: Convert the fraction to a decimal by moving the decimal point two places to the left in the numerator 93 (one place for each zero in 100).
Step 3: The decimal conversion of $\frac{93}{100}$ is $0.93$ .

The resulting decimal is $0.93$ , which aligns with choice 2.

Final Answer

0.93

Key Points to Remember

Essential concepts to master this topic

Rule: When denominator is 100, move decimal point two places left
Technique: 93 ÷ 100 becomes 0.93 by shifting decimal leftward
Check: Verify 0.93 × 100 = 93 gives original numerator ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point right when converting fractions to decimals = multiplying instead of dividing! This gives 930 or 9.3 instead of 0.93. Always move the decimal point left when converting fractions with denominators of 10, 100, 1000.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Why does the decimal point move left instead of right?

Because division makes numbers smaller! When you divide 93 by 100, you're making it 100 times smaller, so the decimal moves left two places (one for each zero in 100).

What if the numerator has fewer digits than zeros in the denominator?

Add leading zeros! For example, $\frac{7}{100}$ becomes 0.07 because you need two decimal places but 7 only has one digit.

How do I remember which way to move the decimal point?

Think: "Dividing makes smaller, so decimal goes left." Count the zeros in the denominator - that's how many places to move left!

Can I just divide 93 ÷ 100 with long division instead?

Absolutely! Long division will give you the same answer: 0.93. The decimal point method is just a shortcut when the denominator is a power of 10.

What if the denominator isn't 10, 100, or 1000?

Then you need to use long division or convert to an equivalent fraction with a power of 10 denominator. The decimal point shortcut only works with denominators like 10, 100, 1000, etc.

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