Convert Fraction to Decimal: Solving 12/10 Step by Step

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

Dividing by 10 makes numbers smaller, so the decimal point moves left. Think of it this way: $ 12 \div 10 = 1.2 $ - the 12 becomes 1.2, which is much smaller!

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

You can still convert! Try equivalent fractions first. For example, $ \frac{3}{5} = \frac{6}{10} = 0.6 $. If that doesn't work, use long division.

Q: How many decimal places should I move the point?

Count the zeros in the denominator! For 10 (one zero), move one place left. For 100 (two zeros), move two places left.

Q: Can I just do the division instead?

Absolutely! $ 12 \div 10 = 1.2 $ gives the same answer. The decimal point method is just a shortcut for powers of ten.

Q: What if I get extra zeros at the end?

You can drop trailing zeros after the decimal point! For example, 1.20 = 1.2. Both represent the same value.

Fraction to Decimal with Powers of Ten

Write the following fraction as a decimal:

$\frac{12}{10}$

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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

00:09 When the denominator equals 10, move the decimal point once to the left

00:14 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:

$\frac{12}{10}$

Step-by-step solution

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

$12.0$

Since the fraction is divisible by 10, we can move the decimal point one place to the left to obtain:

$1.20=1.2$

Final Answer

1.2

Key Points to Remember

Essential concepts to master this topic

Rule: Fractions with denominators of 10, 100, 1000 convert easily
Technique: Move decimal point left one place: $\frac{12}{10} = 1.2$
Check: Verify 1.2 × 10 = 12, confirming our decimal conversion ✓

Common Mistakes

Avoid these frequent errors

Moving the decimal point in the wrong direction
Don't move the decimal right when dividing by 10 = 120.0 instead of 1.2! This makes the number larger instead of smaller. Always move the decimal point LEFT when dividing by powers of ten.

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?

Dividing by 10 makes numbers smaller, so the decimal point moves left. Think of it this way: $12 \div 10 = 1.2$ - the 12 becomes 1.2, which is much smaller!

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

You can still convert! Try equivalent fractions first. For example, $\frac{3}{5} = \frac{6}{10} = 0.6$ . If that doesn't work, use long division.

How many decimal places should I move the point?

Count the zeros in the denominator! For 10 (one zero), move one place left. For 100 (two zeros), move two places left.

Can I just do the division instead?

Absolutely! $12 \div 10 = 1.2$ gives the same answer. The decimal point method is just a shortcut for powers of ten.

What if I get extra zeros at the end?

You can drop trailing zeros after the decimal point! For example, 1.20 = 1.2. Both represent the same value.

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