26. During a soccer game, Erin scored 1 out of 2 goals attempted. Lauren scored 6 out of 8 goal attempted. Write the fraction that represents each and compare. Who was the most successful
Well, the first is obviously 1/2
the other is 6/8 or 3/4
which is bigger? 1/2 or 3/4 , think of dollars
To find the fraction that represents each player's scoring success, you need to divide the number of goals scored by the number of goals attempted for each player. Let's calculate it for Erin and Lauren:
Erin:
Goals scored = 1
Goals attempted = 2
So the fraction representing Erin's scoring success is 1/2.
Lauren:
Goals scored = 6
Goals attempted = 8
So the fraction representing Lauren's scoring success is 6/8.
Now, to compare their success, we need to simplify the fractions and see which one is greater. To do that:
Simplify Erin's fraction:
1/2 can be simplified by dividing the numerator (1) and the denominator (2) by their greatest common divisor (GCD), which is 1.
So, the simplified fraction for Erin is 1/2.
Simplify Lauren's fraction:
6/8 can be simplified by dividing the numerator (6) and the denominator (8) by their greatest common divisor (GCD), which is 2.
Dividing 6 by 2 gives 3, and dividing 8 by 2 gives 4.
So, the simplified fraction for Lauren is 3/4.
Comparing the simplified fractions, 1/2 and 3/4, we can see that 3/4 is greater than 1/2. Therefore, Lauren was the most successful since she scored a higher percentage of goals attempted.
To represent Erin's score as a fraction, we can write it as 1/2. This means that she scored 1 goal out of 2 attempts.
To represent Lauren's score as a fraction, we can write it as 6/8. This means that she scored 6 goals out of 8 attempts.
To compare the fractions, we need to find a common denominator. The least common multiple of 2 and 8 is 8.
Converting Erin's fraction to have a denominator of 8:
1/2 * 4/4 = 4/8
Now we can compare the two fractions:
Erin: 4/8
Lauren: 6/8
Since 6/8 is greater than 4/8, Lauren was more successful in scoring goals during the soccer game.