Question

1. The average of the rational number 2/3,5/9,5/6.
2.The value of-7/64+3/16.
3. The sum of two rational number is -7.lf one of the number is 3/7.Then the other number is-​

Answer 1

Answer:

1. $\frac{37}{54}$

2. $\frac{5}{64}$

3. $\frac{-52}{7}$

Step-by-step explanation:

1. Average number = Total/No of observations

=  $\frac{2}{3}+\frac{5}{9}+\frac{5}{6}$

= $\frac{2*6}{3*6}+ \frac{5*2}{9*2}+\frac{5*3}{6*3}$

= $\frac{12+10+15}{18}$

= $\frac{37}{18}$

$Average = \frac{37}{18}$ ÷ $3$

= $\frac{37}{18*3}$

= $\frac{37}{54}$

2.

= $\frac{-7}{64} +\frac{3}{16}$

= $\frac{-7}{64} + \frac{3*4}{16*4}$

= $\frac{-7}{64} + \frac{12}{64}$

= $\frac{5}{64}$

3. Let the unknown rational number be x.

  $x+ \frac{3}{7} = -7$

  $x = -7-\frac{3}{7}$

$x = \frac{-7*7}{7}- \frac{3}{7}$

$x = \frac{-49}{7}- \frac{3}{7}$

$x = \frac{-52}{7}$

Answer 2

Answer:

Better to find the common denominator first - i.e. the number that can be divided by 5, 3, and 6. It’s 30.

4/5 = 24/30

2/3 = 20/30

5/6 = 25/30

Add the top numbers and you get 69.

69/3 = 23

The average is 23/30.