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2 years ago

2/11 + 3/5 in it's simplest form

Mathematics

2 answers:

swat322 years ago

5 0

Answer:

6/55

Step-by-step explanation:

ra1l [238]2 years ago

4 0

Answer:

43/55.

Step-by-step explanation:

$\frac{2}{11} +\frac{3}{5}$

Step 1: Explain/define.

To add fractions that have different denominators, you must first find the least common multiple (of the denominators).

An easy way to do this is to list the denominators' multiples.

Step 2: Solve.

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121

5: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55

The smallest number both denominators have in common is 55.

Now, we change both fractions to where they have denominators of 55.

**WHATEVER YOU MULTIPLY THE DENOMINATOR BY, MULTIPLY IT BY THE NUMERATOR AS WELL**

$\frac{2}{11} *\frac{5}{5} =\frac{10}{55}$

$\frac{3}{5} *\frac{11}{11} =\frac{33}{55}$

Now, we add the fractions as normal, while keeping the denominators the same.

$\frac{10}{55} +\frac{33}{55} =\frac{43}{55}$

Step 3: Conclude.

43/55 is already in the simplest form. Therefore, $2/11 + 3/5 = 43/55.$

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2/11 + 3/5 in it's simplest form​

2/11 + 3/5 in it's simplest form