Hi the problem reads.......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.........PLEASE HELP!
3 2/3 (7/8 + 2 1/5)
= (3 2/3)(7/8) + (3 2/3)(2 1/5)
= (11/3)(7/8) + (11/3)(11/5)
= 77/24 + 121/15
= 385/120 + 968/120
= 1353/120
= 11 33/120
= 11 11/40
Fill in the blank so the numbers are evenly spaced. 101, _____, _____, 1001?
Of course! Let's start by understanding the distributive property. The distributive property states that when you multiply a number by a sum or difference, you can distribute the multiplication to each term in the sum or difference before performing the operation.
To give an example using mixed numbers or fractions, let's say we have the expression: 2 * (1 1/2 + 3/4).
Step 1: Convert mixed numbers to improper fractions (if present). In this case, 1 1/2 can be written as 3/2.
Step 2: Apply the distributive property by multiplying the number (2) to each term inside the parentheses.
2 * (1 1/2 + 3/4) becomes (2 * 3/2) + (2 * 3/4).
Step 3: Simplify the result.
(2 * 3/2) + (2 * 3/4) equals 6/2 + 6/4.
Step 4: Simplify further, if possible.
6/2 is equal to 3, and 6/4 is equal to 3/2.
Thus, the expression simplifies to 3 + 3/2.
Step 5: Convert the sum back to a mixed number, if necessary.
Since we have a whole number and a fraction, we can express the result as a mixed number.
3 + 3/2 is equivalent to 3 1/2.
So, an example that shows how to use the distributive property to multiply a number by a sum using mixed numbers or fractions is 2 * (1 1/2 + 3/4) = 3 1/2.