Q:

Compare the fraction by using the symbol < , <, or =.a. 4⁄9 _____ 5⁄9b. 4⁄5 _____ 8⁄10c. 7⁄12 _____ 7⁄15d. 3⁄4 _____ 6⁄7

Accepted Solution

A:
Answer:a. 4/9 < 5/9 b. 4/5 = 8/10 c. 7/12 > 7/15 d. 3/4 < 6/7Step-by-step 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 _____ 5/9We would turn the fractions into decimals, you would just divide the numerator by the denominator4/9 = 0.44 5/9 = 0.56You 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 _____ 8/10Turn the fractions into decimals.4/5 = 0.808/10 = 0.80You would notice that they're both equal, so we would use the "=" or "equal" sign.4/5 = 8/10 Question C):c. 7/12 _____ 7/15Turn the fractions into decimals7/12 = 0.587/15 = 0.477/12 is greater than 7/15, so you would use the ">" or "greater than" sign.7/12 > 7/15 Question D):d. 3/4 _____ 6/7Turn the fractions into decimals.3/4 = 0.756/7 = 0.863/4 is less than 6/7, so we would use the "<" or "less than" sign.3/4 < 6/7I hope this helped you out.Good luck on your academics.Have a fantastic day!