Question

Insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true. a. 18/36 _____ 1/2 b. 13/15 _____ 7/10 c. 3/5 _____ 5/9 d. 3/8 _____ 10/16

Answer 1

hello


18/36  = 1/2 

13/15 ≠ 7/10

3/5 ≠ 5/9 

3/8 ≠  10/16 

Answer 2

Answer:

(a)

$\frac{18}{36}=\frac{1}{2}$

(b)

$\frac{13}{15} \neq \frac{7}{10}$

(c)

$\frac{3}{5} \neq \frac{5}{9}$

(d)

$\frac{3}{8}\neq \frac{10}{16}$

Step-by-step explanation:

we can simplify and  verify each equations

(a)

$\frac{18}{36}$

we can find factors of 18 and 36

$=\frac{2\times 3\times 3}{2\times 2\times 3\times 3}$

now, we can cancel it

$=\frac{1}{2}$

so,

$\frac{18}{36}=\frac{1}{2}$

(b)

$\frac{13}{15}$

we know that 13 can not be factored

so,

$\frac{13}{15} \neq \frac{7}{10}$

(c)

$\frac{3}{5}$

we know that 3 and 5 can not be factored

so,

$\frac{3}{5} \neq \frac{5}{9}$

(d)

$\frac{3}{8}$

we can see that second term has 16 in the bottom

we can get 16 in the bottom , if we multiply top and bottom by 2

$=\frac{2\times 3}{2\times 8}$

$=\frac{6}{16}$

so,

$\frac{3}{8}\neq \frac{10}{16}$