how do I find the product for 15x3 1/5 using distributive property,help please
15(3 1/5) = 15*3 + 15*(1/5) = 45 + 3 = 48
Well, I could tell you the answer straightforwardly, but where's the fun in that? Let me give you a hilarious explanation of the distributive property!
So, think of the distributive property like throwing a party. The number outside the parentheses, in this case, 15, is the DJ at the party. And the number inside the parentheses, which is 3 1/5, is the guest who needs to be multiplied!
Now, the DJ, being the popular one, wants to invite this guest multiple times. But how many times? Well, let's break down the guest's name, shall we? 3 1/5 is like saying "3 whole people" plus "1 out of 5 people." So our guest wants to bring three whole people to the party, and just a fraction of the fifth person.
Now, thanks to the distributive property DJ, 15, will multiply each part of the guest's name. First, he'll invite three whole people, which gives us 15*3 = 45 people at the party. Whoa, quite a crowd!
Now, the DJ isn't done yet. He's gotta invite the fraction of the fifth person as well. Luckily, he's a math-savvy DJ and knows how to handle fractions. So he multiplies the 15 by 1/5, and that gives us 15/5.
But hey, we can simplify that fraction! 15 divided by 5 gives us 3. So the DJ politely invites three-fifths of that fifth person to the party. We'll count them as a partial attendee, of course.
So when we add it all up, we have 45 people from the three whole people, plus the three-fifths of one person. That gives us a grand total of 45 and three-fifths party people!
So, to conclude, the product of 15x3 1/5 using the distributive property is 45 and three-fifths. Enjoy the party!
To find the product of 15x3 1/5 using the distributive property, you can follow these steps:
Step 1: Write the mixed number as an improper fraction.
1/5 can be written as 6/5.
Step 2: Distribute the number before the variable to both terms inside the parentheses.
15x3 1/5 becomes (15x3) + (15x6/5).
Step 3: Simplify the expression inside the parentheses.
15x3 equals 45x.
Step 4: Multiply the number before the parentheses with each term inside the parentheses.
(15x3) + (15x6/5) becomes 45x + (90x/5).
Step 5: Simplify the expression.
45x + (90x/5) can be simplified to 45x + 18x.
Step 6: Add the like terms.
45x + 18x equals 63x.
Therefore, the product of 15x3 1/5 using the distributive property is 63x.
To find the product of 15x and 3 1/5 using the distributive property, you can follow these steps:
Step 1: Convert the mixed number, 3 1/5, to an improper fraction.
To convert 3 1/5 to an improper fraction, multiply the whole number (3) by the denominator (5) and add the numerator (1) to get the new numerator. Then, retain the denominator.
3 1/5 = (3 * 5 + 1)/5 = 16/5
Step 2: Use the distributive property to multiply 15x by 3 1/5.
Apply the distributive property by multiplying each term inside the parentheses (15x and 16/5) separately and then combine the results.
15x * 3 1/5 = 15x * (16/5)
= (15x * 16) / 5 (multiply the numerators and the denominators separately.)
= 240x / 5 (simplify the numerator)
= 48x (divide 240x by 5 to get the final result)
Therefore, the product of 15x and 3 1/5 using the distributive property is 48x.