Convert Fraction to Decimal: Solving 14/100

Q: What if I don't have enough digits to move left?

Add zeros in front! For example, with $ \frac{5}{100} $, start with 5.0, then add a zero to get 05.0, and move 2 places left to get 0.05.

Q: How do I know if 0.14 is really equal to 14/100?

Multiply your decimal by the original denominator: 0.14 × 100 = 14. If you get the original numerator, your conversion is correct!

Q: Can I simplify 14/100 before converting?

Yes! $ \frac{14}{100} = \frac{7}{50} $, but it's often easier to convert first when the denominator is 10, 100, or 1000.

Q: What's the difference between 0.14 and 0.140?

They're exactly the same! Trailing zeros after the decimal don't change the value. 0.14 = 0.140 = 0.1400, but 0.14 is the simplest form.

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{14}{100}=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:06 Let's change this into a decimal fraction.

00:09 The top number, or numerator, stays the same.

00:13 The bottom number, or denominator, guides the decimal movement.

00:18 If the denominator is one hundred, move the decimal left two spaces.

00:27 And that's how you solve this problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the following fraction as a decimal:

$\frac{14}{100}=$

Step-by-step solution

Let's write the simple fraction as a decimal fraction

$14.0$

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

$.140$

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

$0.140=0.14$

Final Answer

0.14

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with 100 denominator move decimal 2 places left
Technique: Convert 14/100 by writing 14.0, then move decimal: 0.14
Check: Verify 0.14 × 100 = 14, confirming our decimal conversion ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point in wrong direction
Don't move the decimal point right when dividing by 100 = 1.4 instead of 0.14! This makes the number larger instead of smaller. Always move the decimal point LEFT when the denominator is a power of 10.

Practice Quiz

Test your knowledge with interactive questions

How much of the whole does the shaded area (blue) represent?

FAQ

Everything you need to know about this question

Why do I move the decimal point 2 places for 100?

The number of zeros in the denominator tells you how many places to move! 100 has 2 zeros, so move 2 places left. 1000 would be 3 places left.

What if I don't have enough digits to move left?

Add zeros in front! For example, with $\frac{5}{100}$ , start with 5.0, then add a zero to get 05.0, and move 2 places left to get 0.05.

How do I know if 0.14 is really equal to 14/100?

Multiply your decimal by the original denominator: 0.14 × 100 = 14. If you get the original numerator, your conversion is correct!

Can I simplify 14/100 before converting?

Yes! $\frac{14}{100} = \frac{7}{50}$ , but it's often easier to convert first when the denominator is 10, 100, or 1000.

What's the difference between 0.14 and 0.140?

They're exactly the same! Trailing zeros after the decimal don't change the value. 0.14 = 0.140 = 0.1400, but 0.14 is the simplest form.

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