Question

BRAINLIEST TO CORRECT please answer all

Answer 1

Answer:

15.8/5

16.37/30

17.7/18

Step-by-step explanation:

Answer 2

Answer:

15. $\frac{8}{5}$

16. $\frac{37}{30}$

17. $\frac{7}{18}$

Step-by-step explanation:

In order to add or subtract two fractions with different denominators more easily, find the LCM of the denominators and solve by adding or subtracting the numerator.

LCM - Lowest Common Multiple

The lowest common multiple is the number that shows up earliest that is in both numbers' multiples.

Example: LCM of 2 and 3

2, 4, 6, 8, 10...

3, 6, 9, 12, 15...

Because 6 is the number that shows in both sets first, 6 is the LCM.

We will use this process to solve each problem:

15:

$\frac{7}{10}$ + $\frac{9}{10}$           Because the denominators are the same, adding can be done immediately.

$\frac{16}{10}$                  To put this into simplest form, divide by $\frac{2}{2}$    .

$\frac{16}{10}$ ÷ $\frac{2}{2}$             Divide.

$\frac{8}{5}$

16:

$\frac{2}{5}$ + $\frac{5}{6}$              The LCM of 5 and 6 is 30. So, multiply $\frac{2}{5}$ by $\frac{6}{6}$ and $\frac{5}{6}$ by $\frac{5}{5}$.

$\frac{2}{5}$ × $\frac{6}{6}$ + $\frac{5}{6}$ × $\frac{5}{5}$   Multiply.

$\frac{12}{30}$ + $\frac{25}{30}$           Add the fractions.

$\frac{37}{30}$                  Because 37 is a prime number, this is the simplest form.

17:

$\frac{5}{6}$ - $\frac{4}{9}$               The LCM of 6 and 9 is 18. So, multiply $\frac{5}{6}$ by $\frac{3}{3}$ and $\frac{4}{9}$ by $\frac{2}{2}$.

$\frac{5}{6}$ × $\frac{3}{3}$ - $\frac{4}{9}$ × $\frac{2}{2}$    Multiply.

$\frac{15}{18}$ - $\frac{8}{18}$            Subtract the fractions.

$\frac{7}{18}$                  Because 7 is a prime number, this is the simplest form.