1 5/19 × 6 - 3 5/8

Question 1

Задача Задача №65365

А

Аноним

28 ноября 2023 05:23 · публичный вопрос

А

Аноним 28 ноября 2023 05:23

1 5/19 × 6 - 3 5/8

Answer

To solve the equation 1 5/19 × 6 - 3 5/8, we need to convert the mixed numbers to improper fractions.

First, we convert 1 5/19 to an improper fraction: 1 * 19 = 19 19 + 5 = 24 The improper fraction equivalent of 1 5/19 is 24/19.

Next, we convert 3 5/8 to an improper fraction: 3 * 8 = 24 24 + 5 = 29 The improper fraction equivalent of 3 5/8 is 29/8.

Now we can solve the equation: 24/19 × 6 - 29/8

To multiply fractions, we multiply the numerators together and the denominators together: (24 × 6) / (19 × 1) - 29/8 = 144/19 - 29/8

To subtract fractions, we need to find a common denominator. The least common multiple of 19 and 8 is 152.

Converting the fractions to have a common denominator: (144 × 8) / (19 × 8) - (29 × 19) / (8 × 19) = 1152/152 - 551/152

Subtracting the fractions: (1152 - 551) / 152 = 601/152

The final answer is 601/152.

Question 2

1 5/19 × 6 - 3 5/8

Answer

To solve the equation 1 5/19 × 6 - 3 5/8, we need to convert the mixed numbers to improper fractions. First, we convert 1 5/19 to an improper fraction: 1 * 19 = 19 19 + 5 = 24 The improper fraction equivalent of 1 5/19 is 24/19. Next, we convert 3 5/8 to an improper fraction: 3 * 8 = 24 24 + 5 = 29 The improper fraction equivalent of 3 5/8 is 29/8. Now we can solve the equation: 24/19 × 6 - 29/8 To multiply fractions, we multiply the numerators together and the denominators together: (24 × 6) / (19 × 1) - 29/8 = 144/19 - 29/8 To subtract fractions, we need to find a common denominator. The least common multiple of 19 and 8 is 152. Converting the fractions to have a common denominator: (144 × 8) / (19 × 8) - (29 × 19) / (8 × 19) = 1152/152 - 551/152 Subtracting the fractions: (1152 - 551) / 152 = 601/152 The final answer is 601/152.