Question

Привили к наименьшему общему знаменателю обыкновенные дроби 1)3/5;5/8;17/32 2)5/6;7/9;15/36 3)7/12;2/9;3/8 4)67/120;11/24:29/30 срочнооо дам 40 балов

Answer 1

Пошаговое объяснение:

1 3/5

1 5/8

1 17/32

1 5/6

1 7/9

1 15/36

Answer 2

Finding the Least Common Denominator (LCD) for the Given Fractions

To find the least common denominator (LCD) for a set of fractions, we need to determine the smallest number that is divisible by all the denominators in the set. Once we find the LCD, we can convert each fraction to an equivalent fraction with that denominator.

Let's find the LCD for each set of fractions you provided and convert them to equivalent fractions with the LCD as the denominator.

Set 1: 3/5, 5/8, 17/32 To find the LCD for 5, 8, and 32, we can list their multiples and find the smallest common multiple: - Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ... - Multiples of 8: 8, 16, 24, 32, 40, ... - Multiples of 32: 32, 64, 96, ...

From the lists above, we can see that the smallest common multiple is 40. Therefore, the LCD for the fractions in Set 1 is 40.

Now, let's convert each fraction to an equivalent fraction with the LCD as the denominator: - 3/5 = (3/5) * (8/8) = 24/40 - 5/8 = (5/8) * (5/5) = 25/40 - 17/32 = (17/32) * (5/5) = 85/160

So, the equivalent fractions with the LCD as the denominator for Set 1 are: - 3/5 = 24/40 - 5/8 = 25/40 - 17/32 = 85/160

Set 2: 5/6, 7/9, 15/36 To find the LCD for 6, 9, and 36, we can list their multiples and find the smallest common multiple: - Multiples of 6: 6, 12, 18, 24, 30, 36, ... - Multiples of 9: 9, 18, 27, 36, ... - Multiples of 36: 36, 72, 108, ...

From the lists above, we can see that the smallest common multiple is 36. Therefore, the LCD for the fractions in Set 2 is 36.

Now, let's convert each fraction to an equivalent fraction with the LCD as the denominator: - 5/6 = (5/6) * (6/6) = 30/36 - 7/9 = (7/9) * (4/4) = 28/36 - 15/36 = (15/36) * (1/1) = 15/36

So, the equivalent fractions with the LCD as the denominator for Set 2 are: - 5/6 = 30/36 - 7/9 = 28/36 - 15/36 = 15/36

Set 3: 7/12, 2/9, 3/8 To find the LCD for 12, 9, and 8, we can list their multiples and find the smallest common multiple: - Multiples of 12: 12, 24, 36, 48, ... - Multiples of 9: 9, 18, 27, 36, ... - Multiples of 8: 8, 16, 24, 32, 40, 48, ...

From the lists above, we can see that the smallest common multiple is 72. Therefore, the LCD for the fractions in Set 3 is 72.

Now, let's convert each fraction to an equivalent fraction with the LCD as the denominator: - 7/12 = (7/12) * (6/6) = 42/72 - 2/9 = (2/9) * (8/8) = 16/72 - 3/8 = (3/8) * (9/9) = 27/72

So, the equivalent fractions with the LCD as the denominator for Set 3 are: - 7/12 = 42/72 - 2/9 = 16/72 - 3/8 = 27/72

Set 4: 67/120, 11/24, 29/30 To find the LCD for 120, 24, and 30, we can list their multiples and find the smallest common multiple: - Multiples of 120: 120, 240, 360, ... - Multiples of 24: 24, 48, 72, 96, 120, ... - Multiples of 30: 30, 60, 90, 120, ...

From the lists above, we can see that the smallest common multiple is 120. Therefore, the LCD for the fractions in Set 4 is 120.

Now, let's convert each fraction to an equivalent fraction with the LCD as the denominator: - 67/120 = (67/120) * (1/1) = 67/120 - 11/24 = (11/24) * (5/5) = 55/120 - 29/30 = (29/30) * (4/4) = 116/120

So, the equivalent fractions with the LCD as the denominator for Set 4 are: - 67/120 = 67/120 - 11/24 = 55/120 - 29/30 = 116/120

I hope this helps! Let me know if you have any further questions.