Answer:
a. 4/9 < 5/9
b. 4/5 = 8/10
c. 7/12 > 7/15
d. 3/4 < 6/7
Explanation:
In this question, we're trying to find which fraction is greater, less than, or equal to the other fraction.
To make it more simpler to understand, we would turn the fractions into decimals.
Question A):
a. 4/9 _____ 5/9
We would turn the fractions into decimals, you would just divide the numerator by the denominator
4/9 = 0.44
5/9 = 0.56
You would see that 4/9 is less than 5/9, so your inequality should be the "<" or "less than" sign.
4/9 < 5/9
Question B):
b. 4/5 _____ 8/10
Turn the fractions into decimals.
4/5 = 0.80
8/10 = 0.80
You would notice that they're both equal, so we would use the "=" or "equal" sign.
4/5 = 8/10
Question C):
c. 7/12 _____ 7/15
Turn the fractions into decimals
7/12 = 0.58
7/15 = 0.47
7/12 is greater than 7/15, so you would use the ">" or "greater than" sign.
7/12 > 7/15
Question D):
d. 3/4 _____ 6/7
Turn the fractions into decimals.
3/4 = 0.75
6/7 = 0.86
3/4 is less than 6/7, so we would use the "<" or "less than" sign.
3/4 < 6/7
I hope this helped you out.
Good luck on your academics.
Have a fantastic day!