show how 30/56 is smaller than 5/7 and 6/8
You need to find the common denominator.
5/7 = 40/56
6/8 = 42/56
http://www.mathsisfun.com/numbers/common-denominator.html
5/7=(8*5)/(8*7)=40/56
6/8=(7*6)/(7*8)=42/56
30/56 < 40/56
30/56 < 42/56
To compare fractions, we can convert them into equivalent fractions with the same denominator. Here's how you can compare 30/56 with 5/7 and 6/8:
1. Start by comparing 30/56 with 5/7:
- Multiply the numerator and denominator of 5/7 by 8 to get a common denominator with 56 (since 8 * 7 = 56).
- 5/7 * 8/8 = 40/56
Now we have:
- 30/56 vs. 40/56
2. Next, compare 30/56 with 6/8:
- Multiply the numerator and denominator of 6/8 by 7 to get a common denominator with 56 (since 7 * 8 = 56).
- 6/8 * 7/7 = 42/56
Now we have:
- 30/56 vs. 42/56
3. Finally, let's compare the fractions:
- Since the denominators are the same, we can simply compare the numerators.
- 30 is smaller than both 40 and 42, so:
- 30/56 < 40/56 (30/56 is smaller than 5/7)
- 30/56 < 42/56 (30/56 is smaller than 6/8)
Therefore, we can conclude that 30/56 is smaller than both 5/7 and 6/8.