Is 7/9 greater than 5/8?
To compare two fractions, such as 7/9 and 5/8, 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 5 × 9 = 45
- Multiply the denominators of both fractions together: 9 × 8 = 72
- Rewrite both fractions with the new common denominator:
- 7/9 = 56/72
- 5/8 = 45/72
With a common denominator, the comparison becomes much simpler.
Since 56 is larger than 45, we can conclude that 7/9 is greater than 5/8.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 9 is equal to 0.77777777777778
- 5 divided by 8 is equal to 0.625
Since 0.77777777777778 is larger than 0.625, it means that 7/9 is greater than 5/8.