How do you find the product of 15 × 3 1/5 using distributive property?
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(15 * 3) + (15 * 1/5) =
To find the product of 15 × 3 1/5 using the distributive property, first, we need to convert the mixed number 3 1/5 into an improper fraction.
To convert the mixed number, we multiply the whole number (3) by the denominator of the fraction (5) and add the numerator (1). So, 3 × 5 + 1 = 15 + 1 = 16.
Therefore, 3 1/5 as an improper fraction is 16/5.
Now, we can use the distributive property by multiplying 15 by both the whole number (3) and the fractional part (16/5) separately, and then add the results.
Multiplying 15 by 3 gives us 15 × 3 = 45.
Multiplying 15 by 16/5 gives us (15/1) × (16/5) = (15 × 16) / (1 × 5) = 240/5 = 48.
Finally, we add the two products together: 45 + 48 = 93.
Therefore, the product of 15 × 3 1/5 using the distributive property is 93.