Is 3/8 greater than 2/6?
To compare two fractions, such as 3/8 and 2/6, 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: 3 × 6 = 18
- Multiply the numerator of the second fraction with the denominator of the first fraction 2 × 8 = 16
- Multiply the denominators of both fractions together: 8 × 6 = 48
- Rewrite both fractions with the new common denominator:
- 3/8 = 18/48
- 2/6 = 16/48
With a common denominator, the comparison becomes much simpler.
Since 18 is larger than 16, we can conclude that 3/8 is greater than 2/6.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 8 is equal to 0.375
- 2 divided by 6 is equal to 0.33333333333333
Since 0.375 is larger than 0.33333333333333, it means that 3/8 is greater than 2/6.