Is 1/3 greater than 7/6?
To compare two fractions, such as 1/3 and 7/6, 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: 1 × 6 = 6
- 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 × 6 = 18
- Rewrite both fractions with the new common denominator:
- 1/3 = 6/18
- 7/6 = 21/18
With a common denominator, the comparison becomes much simpler.
Since 6 is smaller than 21, we can conclude that 1/3 is less than 7/6.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 1 divided by 3 is equal to 0.33333333333333
- 7 divided by 6 is equal to 1.1666666666667
Since 0.33333333333333 is smaller than 1.1666666666667, it means that 1/3 is less than 7/6.