Finding the Equal Value to 24/50: Fraction Comparison

Q: Why do we multiply by 2/2 to get a denominator of 100?

We multiply by $ \frac{2}{2} $ because 50 × 2 = 100. Having 100 in the denominator makes it super easy to convert to decimal - just move the decimal point two places left!

Q: Can I just divide 24 ÷ 50 on a calculator instead?

Yes! 24 ÷ 50 = 0.48 gives the same answer. But understanding the fraction method helps you work without calculators and see why the conversion works.

Q: What if the denominator doesn't easily convert to 100?

If you can't easily make 100, try making 10, 1000, or just divide directly. For example, $ \frac{3}{8} $ becomes 3 ÷ 8 = 0.375.

Q: How do I know which answer choice is equivalent?

Convert your fraction to decimal form, then compare with each choice. Look for exact matches - 0.48 matches exactly with choice 2 in this problem!

Q: Why isn't 0.40 correct even though it's close?

In math, close isn't correct! 0.40 would equal $ \frac{40}{100} = \frac{20}{50} $, not $ \frac{24}{50} $. Always check your work carefully!

Fraction to Decimal Conversion with Equivalent Values

Circle the number equal to $\frac{24}{50}$

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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 Convert the fraction to a fraction with denominator of 100

00:06 Make sure to multiply both numerator and denominator

00:14 When the denominator equals 100, the numerator is the decimal number

00:20 When dividing by 100, the decimal point moves two places to the left

00:31 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

Circle the number equal to $\frac{24}{50}$

Step-by-step solution

To solve this problem, we'll convert the fraction $\frac{24}{50}$ into a decimal number by first making its denominator 100:

Step 1: Multiply both the numerator and the denominator by 2 to achieve a denominator of 100:

$\frac{24 \times 2}{50 \times 2} = \frac{48}{100}$

Step 2: Convert the fraction $\frac{48}{100}$ to a decimal:

$\frac{48}{100} = 0.48$

Therefore, the number equivalent to $\frac{24}{50}$ is 0.48.

The correct choice from the provided answer options is choice $2$ .

Final Answer

0.48

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fractions to decimals by making denominator 100
Technique: Multiply $\frac{24}{50}$ by $\frac{2}{2}$ to get $\frac{48}{100}$
Check: Verify that $\frac{48}{100} = 0.48$ matches your answer choice ✓

Common Mistakes

Avoid these frequent errors

Dividing numerator and denominator in wrong order
Don't divide 50 ÷ 24 = 2.08! This gives completely wrong results because you're finding the reciprocal instead. Always divide numerator by denominator: 24 ÷ 50 = 0.48.

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 we multiply by 2/2 to get a denominator of 100?

We multiply by $\frac{2}{2}$ because 50 × 2 = 100. Having 100 in the denominator makes it super easy to convert to decimal - just move the decimal point two places left!

Can I just divide 24 ÷ 50 on a calculator instead?

Yes! 24 ÷ 50 = 0.48 gives the same answer. But understanding the fraction method helps you work without calculators and see why the conversion works.

What if the denominator doesn't easily convert to 100?

If you can't easily make 100, try making 10, 1000, or just divide directly. For example, $\frac{3}{8}$ becomes 3 ÷ 8 = 0.375.

How do I know which answer choice is equivalent?

Convert your fraction to decimal form, then compare with each choice. Look for exact matches - 0.48 matches exactly with choice 2 in this problem!

Why isn't 0.40 correct even though it's close?

In math, close isn't correct! 0.40 would equal $\frac{40}{100} = \frac{20}{50}$ , not $\frac{24}{50}$ . Always check your work carefully!

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