Convert Mixed Number 4 7/10 to a Fraction

Q: Why does the question say 'convert to a fraction' but the answer is a decimal?

This is confusing wording! The question likely means convert the mixed number to decimal form. In mathematics, decimals and fractions represent the same values in different formats.

Q: How do I know when to convert fractions with denominators of 10?

Fractions with denominators of 10, 100, 1000 convert easily to decimals! $ \frac{7}{10} = 0.7 $, $ \frac{23}{100} = 0.23 $, etc.

Q: What if I got 47/10 as my answer?

That's the improper fraction form, which equals 4.7! Both answers are mathematically correct, but 4.7 matches the multiple choice format better.

Q: Can I use a calculator for this type of problem?

While calculators help verify answers, try to recognize decimal patterns first! Tenths, hundredths, and thousandths have predictable decimal equivalents.

Q: How do I add the whole number and decimal parts?

Simply place the whole number before the decimal point: 4 (whole) + 0.7 (fractional part) = 4.7. The decimal point separates whole and fractional parts.

Mixed Number Conversion with Decimal Output

Convert $4\frac{7}{10}$ into a fraction.

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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 Break down the number into whole number and remainder

00:12 When the denominator equals 10, place the numerator right after the decimal point

00:20 Add to decimal fraction

00:27 Use long addition for calculation

00:31 Calculate and substitute accordingly

00:51 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 $4\frac{7}{10}$ into a fraction.

Step-by-step solution

To solve this problem, we'll convert the mixed number $4\frac{7}{10}$ into a decimal.

Step 1: Convert the fractional part $\frac{7}{10}$ to a decimal. Since the denominator is 10, we know that $\frac{7}{10} = 0.7$ .
Step 2: Add the decimal obtained from the fractional part to the whole number to get the final decimal. This means $4 + 0.7 = 4.7$ .

Therefore, the mixed number $4\frac{7}{10}$ in decimal form is 4.7.

Final Answer

4.7

Key Points to Remember

Essential concepts to master this topic

Definition: Mixed numbers combine whole numbers with proper fractions
Method: Convert $\frac{7}{10} = 0.7$ , then add to whole number
Check: Verify 4.7 equals $4\frac{7}{10}$ by converting back ✓

Common Mistakes

Avoid these frequent errors

Converting to improper fraction instead of decimal
Don't convert $4\frac{7}{10}$ to $\frac{47}{10}$ when asked for a fraction in decimal form! The question asks for decimal conversion, not improper fraction form. Always read carefully to determine if you need decimal (4.7) or improper fraction format.

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 the question say 'convert to a fraction' but the answer is a decimal?

This is confusing wording! The question likely means convert the mixed number to decimal form. In mathematics, decimals and fractions represent the same values in different formats.

How do I know when to convert fractions with denominators of 10?

Fractions with denominators of 10, 100, 1000 convert easily to decimals! $\frac{7}{10} = 0.7$ , $\frac{23}{100} = 0.23$ , etc.

What if I got 47/10 as my answer?

That's the improper fraction form, which equals 4.7! Both answers are mathematically correct, but 4.7 matches the multiple choice format better.

Can I use a calculator for this type of problem?

While calculators help verify answers, try to recognize decimal patterns first! Tenths, hundredths, and thousandths have predictable decimal equivalents.

How do I add the whole number and decimal parts?

Simply place the whole number before the decimal point: 4 (whole) + 0.7 (fractional part) = 4.7. The decimal point separates whole and fractional parts.

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