Which of the following fraction is greatest?
3 2 1 4
__ __ __ __
7 5 4 9
please show me
Change them into equivalent decimals by dividing the numerator by the denominator.
Example:
3/7 = 0.429
try using a common denominator again. Then pick the smallest one.
To determine which fraction is the greatest, you can compare them by finding their common denominator and then comparing the numerators. Here's how you can do it:
1. Find the common denominator for all fractions. In this case, it is the least common multiple (LCM) of the denominators 7, 5, 4, and 9. The LCM of these numbers is 180.
2. Once you have the common denominator, convert each fraction so that they have the same denominator. To do this, multiply the numerator and denominator of each fraction by the same factor so that the denominator becomes 180.
The converted fractions will be:
- 3/7 becomes (3 * 180) / (7 * 180) = 540/1260
- 2/5 becomes (2 * 180) / (5 * 180) = 360/900
- 1/4 becomes (1 * 180) / (4 * 180) = 180/720
- 4/9 becomes (4 * 180) / (9 * 180) = 720/1620
3. Now that all the fractions have the same denominator, you can compare them by looking at their numerators.
- 540/1260, 360/900, 180/720, 720/1620
Looking at the numerators, 720 is the largest, so the fraction 4/9 is the greatest among the given options.
Therefore, the greatest fraction is 4/9.