Mathematics
Grade6
Easy

Question

Simplify 3 over 5 cross times 3 over 8

  1. 9 over 40
  2. 3 over 20
  3. 15 over 24
  4. 6 over 13

hintHint:

The first step to multiply fractions is to multiply the numerators. The second step is to multiply the denominators. Finally, simplify the fraction obtained to get the result.

The correct answer is: 9 over 40


Here, we have to find the product of 3⁄5 and 3⁄8.
We have, 3⁄5 × 3⁄8
= (3×3)⁄(5×8)
= 9⁄40.
hence, the correct option is A.

The factions can also be simplified first before multiplying by factoring out common factors in the numerator and the denominator.

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3 over 8 cross times 2 over 3=

Another approach to the question could be that first we can cut both the 3s, i.e., the 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction. Also, we can reduce the 8 in the denominator of the first fraction and the 2 in the numerator in the second fraction. The 8 gets reduced to 4.
Hence, 3 over 8 cross times 2 over 3 equals 1 fourth
Thus, option (a) is the correct option.

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Another approach to the question could be that first we can cut both the 3s, i.e., the 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction. Also, we can reduce the 8 in the denominator of the first fraction and the 2 in the numerator in the second fraction. The 8 gets reduced to 4.
Hence, 3 over 8 cross times 2 over 3 equals 1 fourth
Thus, option (a) is the correct option.

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1 half cross times 4 over 5=

In the question, another approach could be that we can cut the 2 in the denominator of the first fraction by the 4 in the numerator of the second fraction and reduce the 4 to 2. Then, we get 1 over 1 cross times 2 over 5 equals 2 over 5
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In the question, another approach could be that we can cut the 2 in the denominator of the first fraction by the 4 in the numerator of the second fraction and reduce the 4 to 2. Then, we get 1 over 1 cross times 2 over 5 equals 2 over 5
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Multiply 2 over 6 cross times 3 over 5 .

In the question, another approach could be that we can reduce the first fraction 2 over 6 equals 1 third
Then we get, 1 third cross times 3 over 5. Here, the 3 in the denominator of the first fraction gets cut by the 3 in the numerator of the second fraction. Hence, we get the product as 1 fifth.
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In the question, another approach could be that we can reduce the first fraction 2 over 6 equals 1 third
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In the question, another approach could be that we can reduce 2 over 10 into 1 fifth by dividing both the numerator and denominator by 2 which is the HCF of both the numerator and the denominator. Then we simply get 1 fifth cross times 1 fifthequals 1 over 25
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In the question, another approach could be that we can reduce 2 over 10 into 1 fifth by dividing both the numerator and denominator by 2 which is the HCF of both the numerator and the denominator. Then we simply get 1 fifth cross times 1 fifthequals 1 over 25
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3 over 7 cross times 7 over 3 =

In the question, another approach could be that we can cut both the threes and the sevens, i.e., 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction and 7 in the denominator of the first fraction and 7 in the numerator of the second fraction.. That way we do not have to reduce the fraction later into its simplest form.
Hence, 3 over 7 cross times 7 over 3 equals 1
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In the question, another approach could be that we can cut both the threes and the sevens, i.e., 3 in the numerator of the first fraction and the 3 in the denominator of the second fraction and 7 in the denominator of the first fraction and 7 in the numerator of the second fraction.. That way we do not have to reduce the fraction later into its simplest form.
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6 over 11 cross times 5 over 6 =

In the question, another approach could be that we can cut both the sixes, i.e., 6 in the numerator of the first fraction and the 6 in the denominator of the second fraction. That way we do not have to reduce the fraction later into its simplest form.
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Another approach to the question could be that add $8.50, i.e., the money she earns per hour 4.5 times to get the total money she earns.
Therefore, total money she earns on Friday = $8.50 + $8.50 + $8.50 + $8.50 + $(8.50/2)    [here er divide the last 8.50 by 2 because the number of hours she worked is 4.5, i.e., four and a half]
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