Question

Сравни дроби наиболее удобным способом : 1) 4/5 и 17/20, 2) 2/91 и 4/179, 3) 2007/2008 и 2008/2009, 5) 9/11 и 4/5, 6) 8 1/3 и 4 2/3. За решение благодарю

Answer 1

1) 4/5 <17/20,  2) 2/91< 4/179, 3) 2007/2008 > 2008/2009,  5) 9/11 < 4/5,

Answer 2

Comparing Fractions

To compare fractions, we can use a common denominator. The common denominator is the least common multiple (LCM) of the denominators of the fractions being compared. Once we have a common denominator, we can compare the numerators.

Let's compare the fractions you provided:

1) 4/5 and 17/20:

To find a common denominator, we can multiply the denominators together: 5 * 20 = 100. Now, we can convert both fractions to have a denominator of 100:

- 4/5 = 80/100 - 17/20 = 85/100

Since the numerators are now comparable, we can see that 85/100 is greater than 80/100.

2) 2/91 and 4/179:

The least common multiple of 91 and 179 is 91 * 179 = 16289. Converting both fractions to have a denominator of 16289:

- 2/91 = 358/16289 - 4/179 = 716/16289

Comparing the numerators, we can see that **716/16289 is greater than 358/162