Using distributive property what is 3(5 +6) =

Mathematics

2 answers:

Annette [7]3 years ago

7 0

Answer:

3(5 +6) = 33

Step-by-step explanation:

3(5+6)

so first you multiply 3 by 5

which is 15

then you multiply 3 by 6

which is 18

and that remains as 15+18

which in total equals 33

arsen [322]3 years ago

6 0

Answer: 33

Step-by-step explanation: The distributive property tells us that when there is a number outside a set of parentheses, you can multiply it times each of the terms that are inside the set of parentheses and then add those products together.

So in this problem, we can multiply 3(5) + 3(6) which simplifies to 15 + 18 which equals 33.

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$\text{The sum of } 1\frac{7}{10} \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}$

Solution:

Given that we have to find the sum of $1\frac{7}{10} \text{ and } 3\frac{3}{5}$

Let us first convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

$1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}$

Now we can add both the fractions

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}$

Make the denominators same

$1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}$