Respuesta :
So first we have to find a common denominator, in this case it is simple because 18 works. So now we have to make 1/9 into ?/18, to do this we multiply 1/9 by 2, so now we have 2/18 + 2/3 + 5/18. To make 2/3 into ?/18 we have to multiply by 6, so now we have 2/18 + 12/18 + 5/18. Now you add all the numerators (top numbers) together and we get 19/18, which is the same as 1 1/18
ANSWER: 19/18 or 1 1/18.
Feel free to ask any questions about my explanation if you need it(:
The sum of the fractions [tex]\dfrac{1}{9},\dfrac{2}{3},\dfrac{5}{{18}}[/tex] is [tex]\boxed{\frac{{{\mathbf{19}}}}{{{\mathbf{18}}}}}[/tex].
Further explanation:
Given:
The given fractions are [tex]\dfrac{1}{9},\dfrac{2}{3},\dfrac{5}{{18}}[/tex].
Step by step explanation:
Step 1:
First we make the denominator same of the given fraction.
The equivalent fraction of [tex]\dfrac{1}{9}[/tex] can be calculated as,
[tex]\dfrac{{1 \times 2}}{{9 \times 2}} = \dfrac{2}{{18}}[/tex]
The equivalent fraction of [tex]\dfrac{2}{3}[/tex] can be calculated as,
[tex]\dfrac{{2 \times 3}}{{3 \times 3}} = \dfrac{6}{9}[/tex]
The equivalent fraction of [tex]\dfrac{5}{{18}}[/tex] can be calculated as,
[tex]\dfrac{{5 \times 1}}{{18 \times 1}} = \dfrac{5}{{18}}[/tex]
Step 2:
We know the sum of the given fractions and the sum of the equivalent fractions would be same.
Now find the sum of the equivalent fraction to find the sum of the given fractions [tex]\dfrac{1}{9},\dfrac{2}{3},\dfrac{5}{{18}}[/tex] as,
[tex]\begin{aligned}\frac{2}{{18}} + \frac{{12}}{{18}} + \frac{5}{{18}} &= \frac{{2 + 12 + 5}}{{18}} \\&= \frac{{19}}{{18}} \\\end{aligned}[/tex]
Therefore, the sum of the fractions [tex]\dfrac{1}{9},\dfrac{2}{3},\dfrac{5}{{18}}[/tex] is [tex]\dfrac{{19}}{{18}}[/tex].
Learn more:
- Learn more about “which is equivalent to , and what type of special product is it? , a perfect square trinomial , the difference of squares , a perfect square trinomial , the difference of squares” below https://brainly.com/question/2546389
- Learn more about raw coffee loses 12% of its weight when it is roasted. how much raw coffee will make 33 lb of roasted coffee? https://brainly.com/question/11917162
- Learn more about what is the solution of the equation sqrt x+10-9=-7 https://brainly.com/question/2485541
Answer details:
Grade: Middle school
Subject: Mathematics
Chapter: Fractions
Keywords: sum, equivalent, fraction, denominator, numerator, number, division, multiplication, addition, difference, product, natural number
