Question
Simplify
Hint:
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:
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.
Related Questions to study
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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,
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,
Thus, option (a) is the correct option.
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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
Thus, we get option (c) as the correct option.
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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
Thus, we get option (c) as the correct option.
George has pan of brownies. He eats of them. The fraction of brownies George ate. is
George has pan of brownies. He eats of them. The fraction of brownies George ate. is
Multiply .
In the question, another approach could be that we can reduce the first fraction
Then we get, . 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 .
Thus, we get option (a) as the correct option.
Multiply .
In the question, another approach could be that we can reduce the first fraction
Then we get, . 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 .
Thus, we get option (a) as the correct option.
Multiply .
In the question, another approach could be that we can reduce into by dividing both the numerator and denominator by 2 which is the HCF of both the numerator and the denominator. Then we simply get
Thus, the correct option is option (a)
Multiply .
In the question, another approach could be that we can reduce into by dividing both the numerator and denominator by 2 which is the HCF of both the numerator and the denominator. Then we simply get
Thus, the correct option is option (a)
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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.
Hence,
Thus, we get option (d) as the correct option.
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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.
Hence,
Thus, we get option (d) as the correct option.
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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.
Thus, we get option (d) as the correct option.
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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.
Thus, we get option (d) as the correct option.
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The way to multiply a fraction by a fraction is
The way to multiply a fraction by a fraction is
Multiply 4.9 × 52.
Multiply 4.9 × 52.
Multiply 2.9 × 63.
Multiply 2.9 × 63.
Multiply 2.8 × 72.
Multiply 2.8 × 72.
Maria bought 3 pounds of ground beef for hamburgers. If the hamburger is sold for $4.19 a pound, calculate the money Maria spent.
Another approach to the question could be that we could add $4.19, i.e., the price per pound 3 (pounds of ground meat bought) times.
Thus, the total money spent by Maria = $4.19 +$4.19 + $4.19
= $ 12.57
Thus, option (a) is the correct option.
Maria bought 3 pounds of ground beef for hamburgers. If the hamburger is sold for $4.19 a pound, calculate the money Maria spent.
Another approach to the question could be that we could add $4.19, i.e., the price per pound 3 (pounds of ground meat bought) times.
Thus, the total money spent by Maria = $4.19 +$4.19 + $4.19
= $ 12.57
Thus, option (a) is the correct option.
Taylor earns $8.50 per hour as an auto mechanic. The total money Taylor will earn if she works 4.5 hours on Friday is
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 + $(8.50/2) [here er divide the last 8.50 by 2 because the number of hours she worked is 4.5, i.e., four and a half]
=$ 38.25
Taylor earns $8.50 per hour as an auto mechanic. The total money Taylor will earn if she works 4.5 hours on Friday is
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 + $(8.50/2) [here er divide the last 8.50 by 2 because the number of hours she worked is 4.5, i.e., four and a half]
=$ 38.25