Is 4/5 Bigger Than 7/9?

Q: Which is bigger: 4/5 or 7/9?

4/5 is bigger. As a decimal, 4/5 = 0.8 while 7/9 = 0.777778.

Q: What is the difference between 4/5 and 7/9?

The difference is 1/45, which equals 0.022222 in decimal form (2.2222 percentage points).

Yes, $\frac{4}{5}$ > $\frac{7}{9}$

$\frac{4}{5}$

80%

$\frac{7}{9}$

77.7778%

Method 1: Common Denominators

To compare these fractions, we need a common denominator. The denominators are 5 and 9, and the least common denominator (LCD) is 45.

Step 1. Convert $\frac{4}{5}$: multiply numerator and denominator by 9. $\frac{4}{5} = \frac{4 \times 9}{5 \times 9} = \frac{36}{45}$
Step 2. Convert $\frac{7}{9}$: multiply numerator and denominator by 5. $\frac{7}{9} = \frac{7 \times 5}{9 \times 5} = \frac{35}{45}$
Step 3. Compare the numerators: 36 vs 35.
Step 4. Since 36 is greater than 35, we know that $\frac{4}{5} > \frac{7}{9}$.

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: $4 \times 9 = 36$.
Step 2. Multiply the numerator of the second fraction by the denominator of the first: $7 \times 5 = 35$.
Step 3. Compare the products: $36 > 35$, so $\frac{4}{5} > \frac{7}{9}$.

Method 3: Decimal Comparison

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

$\frac{4}{5}$ as a decimal 0.8

$\frac{7}{9}$ as a decimal 0.777778

Difference 0.022222

Since 0.8 is greater than 0.777778, we confirm that $\frac{4}{5} > \frac{7}{9}$. In percentage terms, $\frac{4}{5}$ is 80% and $\frac{7}{9}$ is 77.7778%, a difference of 2.2222 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 45, we're cutting both quantities into equal-sized pieces. Then 36 pieces vs 35 pieces is a straightforward comparison.

Frequently Asked Questions

Which is bigger: 4/5 or 7/9?

$\frac{4}{5}$ is bigger. As a decimal, $\frac{4}{5}$ = 0.8 while $\frac{7}{9}$ = 0.777778.

What is the difference between 4/5 and 7/9?

The difference is $\frac{1}{45}$, which equals 0.022222 in decimal form (2.2222 percentage points).

How do you compare 4/5 and 7/9?

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 $\frac{4}{5}$ $>$ $\frac{7}{9}$.

Keep Learning

📖 Learn how to compare any fractions step-by-step → 🧮 Try your own fractions in our comparison calculator →