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Which three fractions are less than 40%

A. 3/20
B. 23/100
C. 3/5
D. 1/8​

User Dapa
by
4.4k points

2 Answers

5 votes

Answer:

A, B, D

Explanation:

40% is the same as the fraction 4/10.

Compare 4/10 with 3/20 (A):

LCM of 10 and 20 is 20, so make the denominators of all fractions to 20

We now have 8/20 and 3/20

Now you can just simply look at the numerators. 3 is obviously less than 8 so option A is less than 40%

Compare 4/10 with 23/100 (A):

LCM of 10 and 100 is 100, so make all denominators 100

Now compare 40/100 and 23/100

40>23 so 23/100 is less than 40%

Compare 4/10 with 3/5 (C):

We can further reduce 4/10 to 2/5, and conveniently it has the same denoninator as 3/5. 3 is NOT less than 2, so C is ruled out.

Compare 4/10 with 1/8 (D):

LCM of 10 and 8 is 40, so we'll use that as our denominator

We now have 16/40 and 5/40.

5 is less than 16, so we include D in our answer.

User Ao
by
5.4k points
2 votes

Answer:

A, B, D

Explanation: