Question

Решите. 1) 7/84 + 3/12 2) 5/16 - 2/17

Answer 1

1) 7/84+3/12= 7/84+ 21/84= 28/84= 1/3

2) 5/16-2/17= 85/272- 32/272= 53/272

Answer 2

Решение внизу на фото

Answer 3

Sure, let's solve the given expressions:

1. 7/84 + 3/12:

To add fractions, we first need to find a common denominator. In this case, the least common multiple (LCM) of 84 and 12 is 84. So, we'll convert both fractions to have a denominator of 84:

(7/84) + (3/12) = (7/84) + (21/84)

Now that both fractions have the same denominator, we can simply add their numerators:

(7/84) + (21/84) = (7 + 21) / 84 = 28 / 84

Next, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 28:

28 / 84 = (28 ÷ 28) / (84 ÷ 28) = 1/3

So, the result of the first expression is 1/3.

2. 5/16 - 2/17:

Again, to subtract fractions, we need a common denominator. The least common multiple (LCM) of 16 and 17 is 272. We'll convert both fractions to have a denominator of 272:

(5/16) - (2/17) = (5/16) * (17/17) - (2/17) * (16/16) = (85/272) - (32/272)

Now that both fractions have the same denominator, we can simply subtract their numerators:

(85/272) - (32/272) = (85 - 32) / 272 = 53 / 272

So, the result of the second expression is 53/272.