Is 1/12 Bigger Than 7/12?

Q: Which is bigger: 1/12 or 7/12?

7/12 is bigger. As a decimal, 7/12 = 0.583333 while 1/12 = 0.083333.

Q: What is the difference between 1/12 and 7/12?

The difference is 1/2, which equals 0.5 in decimal form (50 percentage points).

Q: How do you compare 1/12 and 7/12?

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 7/12 is greater than 1/12.

No, \(\frac{1}{12}\) < \(\frac{7}{12}\)

\(\frac{1}{12}\)

8.3333%

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

58.3333%

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: 1 vs 7.
Step 3. Since 1 is less than 7, we know that \(\frac{1}{12} < \frac{7}{12}\).

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

Method 3: Decimal Comparison

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

\(\frac{1}{12}\) as a decimal 0.083333

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

Difference 0.5

Since 0.083333 is less than 0.583333, we confirm that \(\frac{1}{12} < \frac{7}{12}\). In percentage terms, \(\frac{1}{12}\) is 8.3333% and \(\frac{7}{12}\) is 58.3333%, a difference of 50 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 7 pieces is more than 1 pieces of the same size, \(\frac{7}{12}\) is the larger fraction.

Frequently Asked Questions

Which is bigger: 1/12 or 7/12?

\(\frac{7}{12}\) is bigger. As a decimal, \(\frac{7}{12}\) = 0.583333 while \(\frac{1}{12}\) = 0.083333.

What is the difference between 1/12 and 7/12?

The difference is \(\frac{1}{2}\), which equals 0.5 in decimal form (50 percentage points).

How do you compare 1/12 and 7/12?

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 \(\frac{7}{12}\) \(>\) \(\frac{1}{12}\).

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