Is 7/4 greater than 8/6?
To compare two fractions, such as 7/4 and 8/6, 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: 7 × 6 = 42
- Multiply the numerator of the second fraction with the denominator of the first fraction 8 × 4 = 32
- Multiply the denominators of both fractions together: 4 × 6 = 24
- Rewrite both fractions with the new common denominator:
- 7/4 = 42/24
- 8/6 = 32/24
With a common denominator, the comparison becomes much simpler.
Since 42 is larger than 32, we can conclude that 7/4 is greater than 8/6.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 4 is equal to 1.75
- 8 divided by 6 is equal to 1.3333333333333
Since 1.75 is larger than 1.3333333333333, it means that 7/4 is greater than 8/6.