Question

Which number has the lowest value?
A) 1/6 B) 1/3 - 1/6 C) 2/3 – 1/7 D) 1/3 – 1/4

Answer 1

(1/3 - 1/4) has the lowest value (option D).

Given,

The four expressions: A) 1/6 B) 1/3 - 1/6 C) 2/3 – 1/7 D) 1/3 – 1/4

To find,

The number which has the lowest value.

Solution,

(1/3 - 1/4) will have the lowest value.

We can easily solve this problem by following the given steps.

We will solve all these parts in a sequence.

For A), we don't need to solve it further because there is only one rational number.

For B), we have

1/3 - 1/6

Taking the LCM of 3 and 6 and adding the two fractions,

(2-1)/6

1/6

For C), we have

2/3 - 1/7

Taking the LCM of 3 and 7 and adding the two fractions,

(2×7-1×3)/21

(14-3)/21

11/21

For D, we have

1/3 - 1/4

Taking the LCM of 3 and 4 and adding the two fractions,

(4-3)/12

1/12

So, we have 1/6, 1/6, 11/21 and 1/12.

First, let's take A, B, and D. Because their denominators are different, we will multiply the numerator and denominator of A and B by 2 to make their denominator 12.

For A and B, we get 2/12

So, 2/12 is greater than 1/12.

Therefore, we are left with two options C and D.

11/21 and 1/12

Now, multiply the numerator and denominator of 11/21 by 12 and that of 1/12 by 21.

11×12/21×12 = 132/252

1×21/12×21 = 21/252

So, 21/252 is less than 132/252.

Hence, (1/3 - 1/4) has the lowest value.

Answer 2

Answer:

Step-by-step explanation: D