Is 7/12 Bigger Than 11/12?

Q: Which is bigger: 7/12 or 11/12?

11/12 is bigger. As a decimal, 11/12 = 0.916667 while 7/12 = 0.583333.

Q: What is the difference between 7/12 and 11/12?

The difference is 1/3, which equals 0.333333 in decimal form (33.3333 percentage points).

Q: How do you compare 7/12 and 11/12?

You can use three methods: find a common denominator and compare numerators, cross-multiply and compare the products, or convert both fractions to decimals. All three methods confirm that 11/12 is greater than 7/12.

No, \(\frac{7}{12}\) < \(\frac{11}{12}\)

\(\frac{7}{12}\)

58.3333%

\(\frac{11}{12}\)

91.6667%

Method 1: Common Denominators

These fractions already share the same denominator: 12. We just need to compare the numerators.

Step 1. Both fractions already have the same denominator: 12.
Step 2. Compare the numerators: 7 vs 11.
Step 3. Since 7 is less than 11, we know that \(\frac{7}{12} < \frac{11}{12}\).

Method 2: Cross Multiplication

A quicker way to compare fractions is to cross-multiply. Multiply each numerator by the other fraction's denominator:

Step 1. Multiply the numerator of the first fraction by the denominator of the second: \(7 \times 12 = 84\).
Step 2. Multiply the numerator of the second fraction by the denominator of the first: \(11 \times 12 = 132\).
Step 3. Compare the products: \(84 < 132\), so \(\frac{7}{12} < \frac{11}{12}\).

Method 3: Decimal Comparison

Convert each fraction to a decimal by dividing the numerator by the denominator:

\(\frac{7}{12}\) as a decimal 0.583333

\(\frac{11}{12}\) as a decimal 0.916667

Difference 0.333333

Since 0.583333 is less than 0.916667, we confirm that \(\frac{7}{12} < \frac{11}{12}\). In percentage terms, \(\frac{7}{12}\) is 58.3333% and \(\frac{11}{12}\) is 91.6667%, a difference of 33.3333 percentage points.

Why Does This Work?

When two fractions share the same denominator, the pieces are the same size. A fraction with more pieces (a larger numerator) is simply a larger amount. Since 11 pieces is more than 7 pieces of the same size, \(\frac{11}{12}\) is the larger fraction.

Frequently Asked Questions

Which is bigger: 7/12 or 11/12?

\(\frac{11}{12}\) is bigger. As a decimal, \(\frac{11}{12}\) = 0.916667 while \(\frac{7}{12}\) = 0.583333.

What is the difference between 7/12 and 11/12?

The difference is \(\frac{1}{3}\), which equals 0.333333 in decimal form (33.3333 percentage points).

How do you compare 7/12 and 11/12?

You can use three methods: find a common denominator and compare numerators, cross-multiply and compare the products, or convert both fractions to decimals. All three methods confirm that \(\frac{11}{12}\) \(>\) \(\frac{7}{12}\).

Keep Learning

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