what is the distributive property of 15 x 3 1/5
The distributive property states that when you multiply a number by the sum of other numbers, you can multiply each number individually and then add the products.
To apply it to the expression 15 x 3 1/5, we can break it down as follows:
First, we want to multiply 15 by the whole number part of 3 1/5, which is 3. So, 15 x 3 = 45.
Next, we multiply 15 by the fraction part of 3 1/5. To do this, we need to convert the mixed number into an improper fraction. 1/5 as an improper fraction is 6/5. Now, we can perform the multiplication: 15 x 6/5.
To multiply a fraction by a whole number, we multiply the numerator (top number) by the whole number and keep the same denominator (bottom number). So, 15 x 6/5 = (15 x 6) / 5 = 90/5.
Now, we can add the two products together: 45 + 90/5. To add these two numbers, we need to have a common denominator. In this case, the denominator is already 5, so we don't need to do anything. This becomes: 45 + 90/5 = 45 + 18 = 63.
Therefore, the result of 15 x 3 1/5 using the distributive property is 63.
just us PEMDAS
P=parenthasis
E=exponents
M=multiplication
D=divition
A=adding
S=subtracting