Convert Fraction to Decimal: Solving 14/10

Q: Why do I move the decimal point left when dividing by 10?

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left makes the number smaller, while moving it right makes it bigger.

Q: What if my fraction doesn't have 10 in the denominator?

You can still use long division! Divide the numerator by the denominator: 3 ÷ 4 = 0.75. The decimal point method only works with denominators like 10, 100, 1000.

Q: How many decimal places should I show in my answer?

Show exactly as many as needed! For $ \frac{14}{10} $, the answer is 1.4, not 1.40 or 1.400. Remove unnecessary trailing zeros unless specifically asked to keep them.

Q: Can I simplify the fraction first before converting?

Absolutely! $ \frac{14}{10} = \frac{7}{5} $ when simplified. Then 7 ÷ 5 = 1.4. Both methods give the same answer!

Q: What if I get a really long decimal?

Some fractions create repeating decimals like 0.333... Keep dividing until you see the pattern, then use a bar over the repeating digits or round as instructed.

Q: How can I check if my decimal conversion is correct?

Multiply your decimal by the original denominatorYou should get the original numeratorExample: 1.4 × 10 = 14 ✓

Fraction-to-Decimal Conversion with Denominators of Ten

Write the following fraction as a decimal:

$\frac{14}{10}$

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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 10, move the decimal point once to the left

00:16 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:

$\frac{14}{10}$

Step-by-step solution

First let's rewrite the simple fraction as a decimal fraction:

$14.0$

Since the fraction is divisible by 10, we can move the decimal point once to the left to get:

$1.40=1.4$

Final Answer

1.4

Key Points to Remember

Essential concepts to master this topic

Division Rule: Dividing by 10 moves decimal point one left
Technique: Rewrite 14/10 as 14.0 ÷ 10 = 1.4
Check: Multiply back: 1.4 × 10 = 14.0 = 14 ✓

Common Mistakes

Avoid these frequent errors

Moving decimal point the wrong direction
Don't move the decimal point right when dividing by 10 = 140 instead of 1.4! Moving right means multiplying, not dividing. Always move the decimal point LEFT when dividing by 10, 100, 1000, etc.

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 do I move the decimal point left when dividing by 10?

When you divide by 10, you're making the number 10 times smaller. Moving the decimal point left makes the number smaller, while moving it right makes it bigger.

What if my fraction doesn't have 10 in the denominator?

You can still use long division! Divide the numerator by the denominator: 3 ÷ 4 = 0.75. The decimal point method only works with denominators like 10, 100, 1000.

How many decimal places should I show in my answer?

Show exactly as many as needed! For $\frac{14}{10}$ , the answer is 1.4, not 1.40 or 1.400. Remove unnecessary trailing zeros unless specifically asked to keep them.

Can I simplify the fraction first before converting?

Absolutely! $\frac{14}{10} = \frac{7}{5}$ when simplified. Then 7 ÷ 5 = 1.4. Both methods give the same answer!

What if I get a really long decimal?

Some fractions create repeating decimals like 0.333... Keep dividing until you see the pattern, then use a bar over the repeating digits or round as instructed.

How can I check if my decimal conversion is correct?

Multiply your decimal by the original denominator
You should get the original numerator
Example: 1.4 × 10 = 14 ✓

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