Is 7/10 greater than 10/3?
To compare two fractions, such as 7/10 and 10/3, 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 × 3 = 21
- Multiply the numerator of the second fraction with the denominator of the first fraction 10 × 10 = 100
- Multiply the denominators of both fractions together: 10 × 3 = 30
- Rewrite both fractions with the new common denominator:
- 7/10 = 21/30
- 10/3 = 100/30
With a common denominator, the comparison becomes much simpler.
Since 21 is smaller than 100, we can conclude that 7/10 is less than 10/3.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 10 is equal to 0.7
- 10 divided by 3 is equal to 3.3333333333333
Since 0.7 is smaller than 3.3333333333333, it means that 7/10 is less than 10/3.