Is 4/5 greater than 1/8?
To compare two fractions, such as 4/5 and 1/8, 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: 4 × 8 = 32
- Multiply the numerator of the second fraction with the denominator of the first fraction 1 × 5 = 5
- Multiply the denominators of both fractions together: 5 × 8 = 40
- Rewrite both fractions with the new common denominator:
- 4/5 = 32/40
- 1/8 = 5/40
With a common denominator, the comparison becomes much simpler.
Since 32 is larger than 5, we can conclude that 4/5 is greater than 1/8.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 4 divided by 5 is equal to 0.8
- 1 divided by 8 is equal to 0.125
Since 0.8 is larger than 0.125, it means that 4/5 is greater than 1/8.