Is 3/6 greater than 1/7?
To compare two fractions, such as 3/6 and 1/7, 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 × 7 = 21
- Multiply the numerator of the second fraction with the denominator of the first fraction 1 × 6 = 6
- Multiply the denominators of both fractions together: 6 × 7 = 42
- Rewrite both fractions with the new common denominator:
- 3/6 = 21/42
- 1/7 = 6/42
With a common denominator, the comparison becomes much simpler.
Since 21 is larger than 6, we can conclude that 3/6 is greater than 1/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 6 is equal to 0.5
- 1 divided by 7 is equal to 0.14285714285714
Since 0.5 is larger than 0.14285714285714, it means that 3/6 is greater than 1/7.