Question

Расположите в порядке возрастания числа3/4;5/12;4/15;7/20.приведите к общему знаменателю дроби числа2/9;3/4;и5/12.5/16;7/12;и9/15в какую пишется больше в какую меньше?

Answer 1

1) 4/15, 7/20, 5/12, 3/4.

2) 2/9+3/4+5/12=(4*2/9)+(9*3/4)+(3*5/12)= 50/36 = 25/18

3) 5/16+7/12+9/15=(180*5/16)+(240*7/12)+(192*9/15)= 3308/2880 =
= 1654/1440 = 827/720

Answer 2

Arranging Fractions in Ascending Order:

To arrange the fractions 3/4, 5/12, 4/15, and 7/20 in ascending order, we can compare them by finding a common denominator and then comparing the numerators.

First, let's find a common denominator for these fractions. The common denominator for 4, 12, 15, and 20 is 60.

Now, we can convert each fraction to have a denominator of 60: - 3/4 = 45/60 - 5/12 = 25/60 - 4/15 = 16/60 - 7/20 = 21/60

So, in ascending order, the fractions are: 4/15, 5/12, 3/4, 7/20.

Finding a Common Denominator for Fractions:

To find a common denominator for the fractions 2/9, 3/4, and 5/12, we can use the least common multiple (LCM) of the denominators.

The denominators are 9, 4, and 12. The LCM of 9, 4, and 12 is 36.

Converting each fraction to have a denominator of 36: - 2/9 = 8/36 - 3/4 = 27/36 - 5/12 = 15/36

So, the fractions 2/9, 3/4, and 5/12, when converted to a common denominator of 36, become: 8/36, 27/36, 15/36.

Comparing Fractions:

To compare the fractions 5/16, 7/12, and 9/15, we can convert them to have a common denominator and then compare the numerators.

The common denominator for 16, 12, and 15 is 240.

Converting each fraction to have a denominator of 240: - 5/16 = 75/240 - 7/12 = 140/240 - 9/15 = 144/240

So, in descending order, the fractions are: 7/12, 9/15, 5/16.

Therefore, 7/12 is greater than 9/15, and 9/15 is greater than 5/16.