Six magazines weigh \(\frac{3}{8}\) lb. How much does each magazine weigh?
Answer (3)
All you have to do to get the result is to divide their total weight (3/8 lb) by 6 magazines.
3/8 : 6
Dividing fractions is multiplying the first fraction by the inverse of the second fraction, so as far as 6 is equal to 6/1, the calculation will look as it follows:
3/8 * 1/6 = 3/48 lb
You can simplify it to 1/16 lb.
Each magazine weighs 16 1 lb.
To find out how much each magazine weighs, we need to divide the total weight of the magazines by the number of magazines.
Here’s the problem step-by-step:
Total weight of 6 magazines = 8 3 lb
Number of magazines = 6
We need to find the weight of one magazine.
To do this, we can use the formula:
Weight of one magazine = Number of magazines Total weight
Substitute the given values:
Weight of one magazine = 6 8 3 lb
Now, we need to divide 8 3 by 6.
To divide a fraction by a whole number, you multiply the fraction by the reciprocal of the whole number.
The reciprocal of 6 is 6 1 .
So:
8 3 ÷ 6 = 8 3 × 6 1
Now, multiply the numerators and the denominators:
8 3 × 6 1 = 8 × 6 3 × 1 = 48 3
Simplify the fraction 48 3 :
Both 3 and 48 can be divided by 3:
48 ÷ 3 3 ÷ 3 = 16 1
So, each magazine weighs 16 1 lb.
Each magazine weighs 16 1 lb, calculated by dividing the total weight of 8 3 lb by 6 magazines. This involves converting the division of fractions into a multiplication problem with the reciprocal. After simplifying, we find the weight per magazine to be 16 1 lb.
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