Convert Fraction to Decimal: Solving 7/10 Step by Step

Fraction to Decimal with Denominators of 10

Write the following fraction as a decimal:

710= \frac{7}{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
00:07 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
1

Understand the problem

Write the following fraction as a decimal:

710= \frac{7}{10}=

2

Step-by-step solution

Write the simple fraction in decimal form

7.0 7.0

Since the fraction is divisible by 10, move the decimal point one place to the left and get:

.7 .7

Let's add the zero to the left of the decimal point and get:

0.7 0.7

3

Final Answer

0.7

Key Points to Remember

Essential concepts to master this topic
  • Rule: Fractions with denominator 10 become decimal tenths place
  • Technique: Move decimal point left: 710=7.00.7 \frac{7}{10} = 7.0 \rightarrow 0.7
  • Check: Multiply back: 0.7 × 10 = 7, so 710=0.7 \frac{7}{10} = 0.7

Common Mistakes

Avoid these frequent errors
  • Writing 7.0 instead of 0.7 as the final answer
    Don't leave 7.0 as your final answer = wrong decimal value! This happens when you forget to move the decimal point left after dividing by 10. Always remember that fractions less than 1 must have decimals less than 1.

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 710 \frac{7}{10} become 0.7 and not 7.0?

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Because 710 \frac{7}{10} means 7 divided by 10, which is less than 1! When you divide 7 by 10, you get 0.7, not 7.0.

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

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Think of it as shrinking the number! Dividing by 10 makes numbers smaller, so move the decimal left. Multiplying by 10 makes them bigger, so move right.

What if I have 310 \frac{3}{10} or 910 \frac{9}{10} ?

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Same rule applies! 310=0.3 \frac{3}{10} = 0.3 and 910=0.9 \frac{9}{10} = 0.9 . The numerator becomes the tenths digit after the decimal point.

Can I just divide 7 ÷ 10 on a calculator?

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Yes! Division always works, but understanding the decimal place pattern helps you solve these faster and builds number sense for more complex problems.

What does the zero in front of the decimal mean?

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The zero shows there are no whole number parts. Writing 0.7 instead of just .7 makes it clearer and follows proper mathematical notation.

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