Question

Find the sum of each of the following:
a) -2/9 + 7/5​

Answer 1

Answer:

The sum of $\frac{-2}{9}$+$\frac{7}{5}$ is $\frac{53}{45}$

Step-by-step explanation:

In this question we have been asked to find the sum of $\frac{-2}{9}$ and $\frac{7}{5}$

We know that to add two fractions with different denominators we have to take lcm of the denominator and then we have to divide it by the actual denominators of the respective numbers and then multiply the answer by numerator as shown below:

$\frac{-2}{9}$+$\frac{7}{5}$

$\frac{-10+63}{45}$

$\frac{53}{45}$

Hence the answer is $\frac{53}{45}$

Answer 2

Answer:

Sum of rational numbers $\frac{-2}{9}$ and $\frac{7}{5}$ is $\frac{53}{45}$.

Step-by-step explanation:

To find : sum of rational numbers $\frac{-2}{9}$ and $\frac{7}{5}$

Solution:

• To find the sum of given rational numbers we get need to equalize denominators of both the rational numbers. By taking LCM .
• Therefore, LCM = $45$
• Now, multiplying numerators of both rational numbers by same number as multiplied by denominators to make LCM.
• We know that , $(-)+(+)= sign \ of \ greater\ integer$
• Therefore, we get, $\frac{-2}{9}+\frac{7}{5}=\frac{-2 \times 5}{45}+\frac{7\times9}{45}$

                                                    $= \frac{-10}{45}+ \frac{63}{45} \\\\=\frac{-10 + 63 }{45} \\\\=\frac{53}{45}$