Is 3/10 Bigger Than 7/12?

Q: Which is bigger: 3/10 or 7/12?

7/12 is bigger. As a decimal, 7/12 = 0.583333 while 3/10 = 0.3.

Q: What is the difference between 3/10 and 7/12?

The difference is 17/60, which equals 0.283333 in decimal form (28.3333 percentage points).

Q: How do you compare 3/10 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 3/10.

No, 3/10 is not bigger than 7/12. Hit Compare below to see the visual breakdown and step-by-step solution — or change the fractions to compare your own.

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How to Compare $\frac{3}{10}$ and $\frac{7}{12}$ Step by Step

Wondering how to figure out which fraction is bigger without a calculator? Comparing $\frac{3}{10}$ and $\frac{7}{12}$ is straightforward once you know the right approach. Below we walk through three proven methods for comparing fractions: finding a common denominator, cross multiplication, and converting to decimals. Each method will give you the same answer, so choose the one that feels easiest.

Method 1: Common Denominators

To compare these fractions, we need a common denominator. The denominators are 10 and 12, and the least common denominator (LCD) is 60.

Step 1. Convert $\frac{3}{10}$: multiply numerator and denominator by 6. $\frac{3}{10} = \frac{3 \times 6}{10 \times 6} = \frac{18}{60}$
Step 2. Convert $\frac{7}{12}$: multiply numerator and denominator by 5. $\frac{7}{12} = \frac{7 \times 5}{12 \times 5} = \frac{35}{60}$
Step 3. Compare the numerators: 18 vs 35.
Step 4. Since 18 is less than 35, we know that $\frac{3}{10} < \frac{7}{12}$.

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: $3 \times 12 = 36$.
Step 2. Multiply the numerator of the second fraction by the denominator of the first: $7 \times 10 = 70$.
Step 3. Compare the products: $36 < 70$, so $\frac{3}{10} < \frac{7}{12}$.

Method 3: Decimal Comparison

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

$\frac{3}{10}$ as a decimal 0.3

$\frac{7}{12}$ as a decimal 0.583333

Difference 0.283333

Since 0.3 is less than 0.583333, we confirm that $\frac{3}{10} < \frac{7}{12}$. In percentage terms, $\frac{3}{10}$ is 30% and $\frac{7}{12}$ is 58.3333%, a difference of 28.3333 percentage points.

Why Does This Work?

These fractions have different numerators and different denominators, so we can't compare them directly. By converting to a common denominator of 60, we're cutting both quantities into equal-sized pieces. Then 18 pieces vs 35 pieces is a straightforward comparison.

Frequently Asked Questions

Which is bigger: 3/10 or 7/12?

$\frac{7}{12}$ is bigger. As a decimal, $\frac{7}{12}$ = 0.583333 while $\frac{3}{10}$ = 0.3.

What is the difference between 3/10 and 7/12?

The difference is $\frac{17}{60}$, which equals 0.283333 in decimal form (28.3333 percentage points).

How do you compare 3/10 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 $\frac{7}{12}$ $>$ $\frac{3}{10}$.

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