Is 7/3 greater than 7/8?
To compare two fractions, such as 7/3 and 7/8, 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: 7 × 8 = 56
- Multiply the numerator of the second fraction with the denominator of the first fraction 7 × 3 = 21
- Multiply the denominators of both fractions together: 3 × 8 = 24
- Rewrite both fractions with the new common denominator:
- 7/3 = 56/24
- 7/8 = 21/24
With a common denominator, the comparison becomes much simpler.
Since 56 is larger than 21, we can conclude that 7/3 is greater than 7/8.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 3 is equal to 2.3333333333333
- 7 divided by 8 is equal to 0.875
Since 2.3333333333333 is larger than 0.875, it means that 7/3 is greater than 7/8.