Give an example that shows
how to use the Distributive Property to multiply a
number by a sum. All of the numbers you use should
be mixed numbers or fractions.
1 2/3 (4 5/6 + 7 8/9) = 21 11/54
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Y'all dumb
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J.k y'all Smart Smart🥰❤
This hard as hell uhhh
Sure! To use the Distributive Property to multiply a number by a sum, you need to distribute the multiplication across each term in the sum. Let's use the example of multiplying the mixed number 2 1/2 by the sum (3/4 + 1/2).
Step 1: Convert the mixed number into an improper fraction.
2 1/2 can be written as an improper fraction by multiplying the whole number (2) by the denominator (2) and adding the numerator (1). So we have 2 1/2 = (2 * 2 + 1)/2 = 5/2.
Step 2: Distribute the multiplication across each term in the sum.
Multiply the number (5/2) by each term in the sum separately.
5/2 * (3/4 + 1/2) = (5/2 * 3/4) + (5/2 * 1/2)
Step 3: Simplify the calculations.
To multiply fractions, simply multiply the numerators together and the denominators together.
(5/2 * 3/4) = (5 * 3)/(2 * 4) = 15/8
(5/2 * 1/2) = (5 * 1)/(2 * 2) = 5/4
Step 4: Add the simplified fractions together.
The final step is to add the simplified fractions from step 3.
15/8 + 5/4 = 15/8 + (2 * 5)/(2 * 4) = 15/8 + 10/8 = (15 + 10)/8 = 25/8
So, using the Distributive Property, we find that 2 1/2 * (3/4 + 1/2) = 25/8.