which fraction is bigger and why   5/12 or 15/28?

To compare the fractions \( \frac{5}{12} \) and \( \frac{15}{28} \), we need to convert them to have the same denominator or convert them to decimals.

### Method 1: Cross-multiplication

1. Multiply the numerator of the first fraction by the denominator of the second:
   \[
   5 \times 28 = 140
   \]

2. Multiply the numerator of the second fraction by the denominator of the first:
   \[
   15 \times 12 = 180
   \]

Since \( 180 > 140 \), we conclude that:
\[
\frac{15}{28} > \frac{5}{12}
\]

Thus, \( \frac{15}{28} \) is the larger fraction.

### Method 2: Converting to decimals (optional)

\[
\frac{5}{12} \approx 0.4167
\]
\[
\frac{15}{28} \approx 0.5357
\]

Again, \( 0.5357 > 0.4167 \), confirming that \( \frac{15}{28} \) is larger.

### Conclusion:
\( \frac{15}{28} \) is larger than \( \frac{5}{12} \) because when we compare the values, \( 15/28 \) results in a higher value.

Would you like more details on any specific step?

### Related Questions:
1. How do you find the least common denominator for two fractions?
2. How do you simplify fractions?
3. What is the decimal form of \( \frac{7}{16} \)?
4. How do you convert fractions to percentages?
5. How can you compare fractions without using a calculator?

### Tip:
Cross-multiplication is a quick way to compare fractions without finding a common denominator!

Which fraction is bigger and why 5/12 or 15/28?

Discover how to compare fractions like 5/12 and 15/28 using cross-multiplication and decimal conversion. Understand why 15/28 is larger, with a step-by-step explanation suitable for students in Grades 5-7.

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