Question

write the first 3 equivalent frations of the following.
(1) 3/7
(2) 2/5
(3) 3/4
(4) 5/9
(5) 2/11​

Answer 1

Answer:

(1) 3/7 = 6/14, 9/21, 12/28

(2) 2/5 = 4/10, 6/15, 8/20

(3) 3/4 = 6/8, 9/12, 12/16

(4) 5/9 = 10/18, 15/27, 20/36

(5) 2/11​ = 4/22, 6/33, 8/44

Step-by-step explanation:

Equivalent fractions are defines as which is multiplied by same number in numerator and denominator, hence they are equivalent.

Here, I am multiplying in denominator and numerator by same numbers by 2, 3, 4.

(1) 3/7 = 6/14, 9/21, 12/28

(2) 2/5 = 4/10, 6/15, 8/20

(3) 3/4 = 6/8, 9/12, 12/16

(4) 5/9 = 10/18, 15/27, 20/36

(5) 2/11​ = 4/22, 6/33, 8/44

#SPJ3

Answer 2

Answer:

The equivalent fractions of $\frac{3}{7}$ are  $\frac{6}{14}, \frac{9}{21} , \frac{12}{28}$

The equivalent fractions of $\frac{2}{5}$ are  $\frac{4}{10} ,\frac{6}{15} , \frac{8}{20}$

The equivalent fractions of $\frac{3}{4}$ are  $\frac{6}{8},\frac{9}{12} ,\frac{12}{16}$

The equivalent fractions of $\frac{5}{9}$ are  $\frac{10}{18}, \frac{15}{27} , \frac{20}{36}$

The equivalent fractions of $\frac{2}{11}$ are  $\frac{4}{22}, \frac{6}{33} ,\frac{8}{44}$

Step-by-step explanation:

Given,

Five fractions

(1) $\frac{3}{7}$

(2) $\frac{2}{5}$

(3) $\frac{3}{4}$

(4) $\frac{5}{9}$

(5) $\frac{2}{11}$

To find,

First 3 equivalent fractions of the given fractions

Solution:

Equivalent fractions of a given fraction is obtained by multiplying the numerator and denominator with a given number.

1) The equivalent fractions of $\frac{3}{7}$

$\frac{3}{7} = \frac{3X2}{7X2} = \frac{3X3}{7X3} = \frac{3X4}{7X4}$

$\frac{3}{7} = \frac{6}{14} = \frac{9}{21} = \frac{12}{28}$

The equivalent fractions of $\frac{3}{7}$ are  $\frac{6}{14}, \frac{9}{21} , \frac{12}{28}$

2) The equivalent fractions of $\frac{2}{5}$

$\frac{2}{5} = \frac{2X2}{5X2} = \frac{2X3}{5X3} = \frac{2X4}{5X4}$

$\frac{2}{5} = \frac{4}{10} = \frac{6}{15} = \frac{8}{20}$

The equivalent fractions of $\frac{2}{5}$ are  $\frac{4}{10} ,\frac{6}{15} , \frac{8}{20}$

3) The equivalent fractions of $\frac{3}{4}$

$\frac{3}{4} = \frac{3X2}{4X2} = \frac{3X3}{4X3} = \frac{3X4}{4X4}$

$\frac{3}{4} = \frac{6}{8} = \frac{9}{12} = \frac{12}{16}$

The equivalent fractions of $\frac{3}{4}$ are  $\frac{6}{8},\frac{9}{12} ,\frac{12}{16}$

4) The equivalent fractions of $\frac{5}{9}$

$\frac{5}{9} = \frac{5X2}{9X2} = \frac{5X3}{9X3} = \frac{5X4}{9X4}$

$\frac{5}{9} = \frac{10}{18} = \frac{15}{27} = \frac{20}{36}$

The equivalent fractions of $\frac{5}{9}$ are  $\frac{10}{18}, \frac{15}{27} , \frac{20}{36}$

5) The equivalent fractions of $\frac{2}{11}$

$\frac{2}{11} = \frac{2X2}{11X2} = \frac{2X3}{11X3} = \frac{2X4}{11X4}$

$\frac{2}{11} = \frac{4}{22} = \frac{6}{33} = \frac{8}{44}$

$\frac{4}{22}, \frac{6}{33} ,\frac{8}{44}$

#SPJ2