Is 5/8 greater than 4/6?
To compare two fractions, such as 5/8 and 4/6, 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: 5 × 6 = 30
- Multiply the numerator of the second fraction with the denominator of the first fraction 4 × 8 = 32
- Multiply the denominators of both fractions together: 8 × 6 = 48
- Rewrite both fractions with the new common denominator:
- 5/8 = 30/48
- 4/6 = 32/48
With a common denominator, the comparison becomes much simpler.
Since 30 is smaller than 32, we can conclude that 5/8 is less than 4/6.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 5 divided by 8 is equal to 0.625
- 4 divided by 6 is equal to 0.66666666666667
Since 0.625 is smaller than 0.66666666666667, it means that 5/8 is less than 4/6.