Question

14/15 - 9/15 = ? 7/24 + 5/24 = ? 9/20 + 14/20 - 8/20 = ?

Answer 1

Ответ:

$1)\ \dfrac{1}{3};\\\\2)\ \dfrac{1}{2};\\\\3)\ \dfrac{3}{4}.$

Пошаговое объяснение:

$1)\ \dfrac{14}{15} - \dfrac{9}{15} = \dfrac{14-9}{15} = \dfrac{5}{15} = \dfrac{1}{3};\\\\2)\ \dfrac{7}{24} + \dfrac{5}{24} = \dfrac{7+5}{24} = \dfrac{12}{24} = \dfrac{1}{2};\\\\3)\ \dfrac{9}{20} + \dfrac{14}{20} - \dfrac{8}{20} = \dfrac{9+14-8}{20} = \dfrac{15}{20} = \dfrac{3}{4}.$

Answer 2

Let's solve each of these expressions step by step:

1. 14/15 - 9/15: When you subtract fractions with the same denominator, you can subtract the numerators directly. So, for this expression:

   (14/15) - (9/15) = (14 - 9)/15 = 5/15

   Now, you can simplify 5/15 by dividing both the numerator and denominator by their greatest common divisor, which is 5:

   (5/5) / (15/5) = 1/3

   So, 14/15 - 9/15 = 1/3.

2. 7/24 + 5/24: When you add fractions with the same denominator, you can add the numerators directly. So, for this expression:

   (7/24) + (5/24) = (7 + 5)/24 = 12/24

   Now, you can simplify 12/24 by dividing both the numerator and denominator by their greatest common divisor, which is 12:

   (12/12) / (24/12) = 1/2

   So, 7/24 + 5/24 = 1/2.

3. 9/20 + 14/20 - 8/20: Again, when you add and subtract fractions with the same denominator, you can perform these operations directly. For this expression:

   (9/20) + (14/20) - (8/20) = (9 + 14 - 8)/20 = 15/20

   Now, you can simplify 15/20 by dividing both the numerator and denominator by their greatest common divisor, which is 5:

   (15/5) / (20/5) = 3/4

   So, 9/20 + 14/20 - 8/20 = 3/4.