Convert Mixed Number 1 4/10 to a Fraction

Q: Why is the answer 1.4 and not just 0.4?

A mixed number like $ 1\frac{4}{10} $ has two parts: the whole number (1) and the fraction ($ \frac{4}{10} $). You must add both parts together to get the complete decimal: 1 + 0.4 = 1.4.

Q: How do I know when a fraction converts to a terminating decimal?

A fraction becomes a terminating decimal when its denominator only has factors of 2 and 5. Since 10 = 2 × 5, fractions with denominator 10 (like $ \frac{4}{10} $) always give clean decimals!

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

You can still convert! First, try to make an equivalent fraction with denominator 10, 100, or 1000. If that doesn't work easily, just divide the numerator by the denominator using long division.

Q: Can I simplify the fraction before converting?

Absolutely! $ \frac{4}{10} = \frac{2}{5} $ in simplest form. Both give the same decimal (0.4), so use whichever feels easier to work with.

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert to decimal fraction

00:04 Break down the number into whole number and remainder

00:09 When the denominator equals 10, place the numerator directly after the decimal point

00:23 Add to decimal fraction

00:34 Use long addition for calculation

00:38 Calculate and substitute accordingly

00:50 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

Convert $1\frac{4}{10}$ into a fraction.

2

Step-by-step solution

To solve this problem, we will convert the mixed number $1 \frac{4}{10}$ into a decimal form by following these steps:

Step 1: Convert the fractional part $\frac{4}{10}$ to a decimal.
Since the fraction $\frac{4}{10}$ has a denominator of 10, it directly converts to 0.4. This is because dividing 4 by 10 gives us 0.4.
Step 2: Add this decimal to the whole number part.
Combine the whole number part (1) with the decimal 0.4 to get the complete number in decimal form:

1 + 0.4 = 1.4

Thus, the mixed number $1 \frac{4}{10}$ converted into a decimal is $\mathbf{1.4}$ .

The correct choice among the given options is the choice that reads 1.4 (Choice 3).

3

Final Answer

1.4

Key Points to Remember

Essential concepts to master this topic

Rule: Mixed numbers equal whole number plus fractional part
Technique: Convert $\frac{4}{10} = 0.4$ then add 1 + 0.4
Check: Verify $1\frac{4}{10} = 1.4$ by converting back ✓

Common Mistakes

Avoid these frequent errors

Converting only the fraction part to decimal
Don't just convert 4/10 = 0.4 and stop there = incomplete answer! This ignores the whole number part completely. Always add the whole number (1) to the decimal fraction (0.4) to get the complete decimal 1.4.

Practice Quiz

Test your knowledge with interactive questions

Convert into fraction form:

$$ 0.38= $$

FAQ

Everything you need to know about this question

Why is the answer 1.4 and not just 0.4?

+

A mixed number like $1\frac{4}{10}$ has two parts: the whole number (1) and the fraction ( $\frac{4}{10}$ ). You must add both parts together to get the complete decimal: 1 + 0.4 = 1.4.

How do I know when a fraction converts to a terminating decimal?

+

A fraction becomes a terminating decimal when its denominator only has factors of 2 and 5. Since 10 = 2 × 5, fractions with denominator 10 (like $\frac{4}{10}$ ) always give clean decimals!

What if the fraction part doesn't have 10 as denominator?

+

You can still convert! First, try to make an equivalent fraction with denominator 10, 100, or 1000. If that doesn't work easily, just divide the numerator by the denominator using long division.

Can I simplify the fraction before converting?

+

Absolutely! $\frac{4}{10} = \frac{2}{5}$ in simplest form. Both give the same decimal (0.4), so use whichever feels easier to work with.

How do I check if my decimal answer is correct?

+

Convert your decimal back to a mixed number! 1.4 means 1 whole and 0.4, and 0.4 = $\frac{4}{10}$ , so you get $1\frac{4}{10}$ - exactly what you started with!

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Convert Mixed Number 1 4/10 to a Fraction

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