Question

uses the properties and mental math to solve. Write your answer in simplest form. 2 1/10 + (1 2/7 + 4 9/10)

Answer 1

Hello!

The answer is: $\frac{58}{7}$

Why?

Since we have mixed numbers, first we need to make it fractions, then we can add/subtract the resultant fractions.

Sum of fractions is not linear, to add/subtract actions we must follow the next steps:

1. Multiply each fraction denominator by each other, it will be the new fraction denominator.
2. Multiply first fraction numerator by the second fraction denominator.
3. Multiply first fraction denominator by the second fraction numerator.
4. Add/subtract each result from step 2 and 3 to get the new fraction numerator.
5. Simplify the results.

Therefore,

$2\frac{1}{10}=2+\frac{1}{10}=\frac{20+1}{10}=\frac{21}{10}$

$1\frac{2}{7}=1+\frac{2}{7}=\frac{7+2}{7}=\frac{9}{7}$

$4\frac{9}{10}=4+\frac{9}{10}=\frac{40+9}{10}=\frac{49}{10}$

Now, we have all mixed numbers changed to fractions. Then, we need to add the fractions:

$\frac{21}{10} + \frac{9}{7} + \frac{49}{10}=\frac{147+90}{70} +\frac{49}{10}\\\\\frac{237}{70}+\frac{49}{10}=\frac{2370+3430}{700}=\frac{5800}{700}=\frac{58}{7}$

Have a nice day!

Answer 2

Answer:

The solution is 8 2/7

Step-by-step explanation:

See the attached figure for solution