Question

А) |-3/7|+|-1/14|= б) |5/12|-|-1 3/4|=

Answer 1

Ответ:

а) 1/2

б) -4/3

Пошаговое объяснение:

Answer 2

А) To solve |-3/7| + |-1/14|:

|-3/7| = 3/7 (because the absolute value of a negative number is its positive counterpart) |-1/14| = 1/14

Now, add them together:

3/7 + 1/14 = (6/14) + (1/14) = 7/14 = 1/2

So, the solution to |-3/7| + |-1/14| is 1/2.

Б) To solve |5/12| - |-1 3/4|:

|5/12| = 5/12 |-1 3/4| = 1 3/4 (because the absolute value of a negative number is its positive counterpart)

Now, subtract:

5/12 - 1 3/4

To perform this subtraction, convert 1 3/4 to an improper fraction: 1 3/4 = 4/4 + 3/4 = 7/4

So, the expression becomes:

5/12 - 7/4

To subtract fractions, find a common denominator. The least common multiple of 12 and 4 is 12, so:

5/12 - 7/4 = (5/12) - (21/12) = -16/12

Simplify the fraction:

-16/12 = -4/3

So, the solution to |5/12| - |-1 3/4| is -4/3.