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Are the product of 3/4×2/9 greater than 2/9 plz explain

2 Answers

2 votes
Hey there!

Let's first multiply 3/4 and 2/9. When we multiply fractions, we multiply the numerators and denominators, so we have:

3/4 times 2/9 = 6/36 = 1/6

Now, we have to compare 1/6 and 2/9. In order to do this, we can multiply them both by a version of one to get equivalent fractions with the same denominator. This is because anything times one is itself, but we can keep it as itself, just with a different denominator, as I said. The least common multiple of the denominators are 18, so we multiply:

1/6(3/3) --> (3/3 equals one) = 3/18
2/9(2/2) = 4/18

Now that we have the same denominator, we can compare the numerators to see that 2/9 is actually greater.

Hope this helps!

User Maxsilver
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Less because if you multiply any number by a fraction (not mixed or improper) than it will always be less because multiplying it by 1 will keep it the same anything less than one will make the number smaller the answer of 3/4 x 2/9 is 1/6 btw
User Mabahamo
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