Is 6/7 greater than 9/4?
To compare two fractions, such as 6/7 and 9/4, there are two main common methods: the first one involves finding a common denominator, and the other one is to convert the fractions directly into decimal values.
1) Using the same denominator
- Multiply the numerator of the first fraction with the denominator of the second fraction: 6 × 4 = 24
- Multiply the numerator of the second fraction with the denominator of the first fraction 9 × 7 = 63
- Multiply the denominators of both fractions together: 7 × 4 = 28
- Rewrite both fractions with the new common denominator:
- 6/7 = 24/28
- 9/4 = 63/28
With a common denominator, the comparison becomes much simpler.
Since 24 is smaller than 63, we can conclude that 6/7 is less than 9/4.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 6 divided by 7 is equal to 0.85714285714286
- 9 divided by 4 is equal to 2.25
Since 0.85714285714286 is smaller than 2.25, it means that 6/7 is less than 9/4.