Daphne replaced light bulbs in her mothers store.She had 3/4 of a box of light bulbs. She used 1/3 of the bulbs.
a. What fraction of the box of light bulbs was left?
b. How many light bulbs are in a full box? Explain.
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To find out the fraction of the box of light bulbs that was left, we need to subtract the fraction of bulbs used from the fraction of the original box.
a. Fraction of the box left = Fraction of the original box - Fraction of bulbs used
= 3/4 - 1/3
To subtract these fractions, we need a common denominator. The least common multiple of 4 and 3 is 12.
3/4 - 1/3 = (3/4)*(3/3) - (1/3)*(4/4)
= 9/12 - 4/12
= 5/12
Therefore, 5/12 of the box of light bulbs was left.
b. To determine how many light bulbs are in a full box, we can assume that the fraction given represents the number of light bulbs.
Since Daphne had 3/4 of a box, we can assume that the denominator, 4, represents the total number of light bulbs in a full box.
So, a full box contains 4 light bulbs.
a. To find the fraction of the box of light bulbs that was left, we need to subtract the fraction she used from the fraction she had.
Fraction left = Fraction had - Fraction used
Given that Daphne had 3/4 of a box of light bulbs and she used 1/3 of the bulbs, we can subtract 1/3 from 3/4 to find the answer.
3/4 - 1/3 = ?
To subtract fractions, we need a common denominator. The least common multiple of 4 and 3 is 12. So, we can rewrite the fractions using 12 as a denominator:
(3/4) = (3/4) * (3/3) = 9/12
(1/3) = (1/3) * (4/4) = 4/12
Now, we can subtract:
9/12 - 4/12 = 5/12
Therefore, the fraction of the box of light bulbs that was left is 5/12.
b. To calculate how many light bulbs are in a full box, we can use the given information that Daphne had 3/4 of a box of light bulbs.
Let's assume that x represents the number of light bulbs in a full box.
From the given information, we know that:
3/4 of x = the number of light bulbs Daphne had
To solve for x, we can create an equation and solve for it:
(3/4)x = 1
To isolate x, we need to divide both sides of the equation by 3/4:
x = 1 / (3/4)
To divide fractions, we multiply the numerator by the reciprocal of the denominator:
x = 1 * (4/3)
Multiplying, we get:
x = 4/3
Therefore, a full box of light bulbs contains 4/3 or 1 and 1/3 light bulbs.
Note: Since fractions represent parts of a whole, it is not possible to have 1 and 1/3 light bulbs physically. However, in this case, it represents the theoretical number of light bulbs in a full box based on the given information.
(1/3) * (3/4) = 3/12 = 1/4 used
4/4 - 1/4 = 3/4 left
To find the number of bulbs in a full box, you need a multiple of 3 and 4 -- which could be
12, 24, 36, 48, etc.