Which of the following rational numbers is not equivalent to 20/75 a) 4/15 b) 8/30 c) 10/55 d) 12/45
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Finding
We have to find a fraction which is NOT an equivalent fraction of 20/75
a) 20/75 = 4/15
Cross Multiplication
20 × 15 = 75 × 4
300 = 300
So, it is an equivalent fraction of 20/75
b) 20/75 = 8/30
Cross Multiplication
20 × 30 = 75 × 8
600 = 600
So, it is an equivalent fraction of 20/75
c) 20/75 = 10/55
Cross Multiplication
20 × 55 = 75 × 10
1375 ≠ 750
So, it is not an equivalent fraction of 20/75
d) 20/75 = 12/45
Cross Multiplication
20 × 45 = 75 × 12
900 = 900
So, it is an equivalent fraction of 20/75
Conclusion
We can see that 10/55 is not an equivalent fraction of 20/75
So, the answer is (c)
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