This question tells me add or subtract as directed and reduce answers to lowest terms. 2 3/10 + 9 4/5 Im not understanding the steps at all??? ive tryed 4 GED books and even the Teacher isent able to properly explain is a way that i can understand.
You need to find the common denominator to add and subtract fractions.
Since 10 is divisible by 5, the common denominator is 10.
9 4/5 = 9 8/10
Then add the whole numbers and the numerators.
2 3/10 + 9 8/10 = 11 11/10 = 11 1/10
Try these sites for more information.
http://www.math.com/school/subject1/lessons/S1U4L3GL.html
http://www.themathpage.com/arith/add-fractions-subtract-fractions-1.htm
http://www.math.com/school/subject1/lessons/S1U4L2GL.html
After you've studied these sites, please post a couple of your problems, along with your answers. We'll be glad to check them.
Oops! I goofed in the final answer. It should be 12 1/10, not 11 1/10.
I understand that you are struggling with adding mixed numbers and reducing them to lowest terms. I'll guide you through the steps to solve the problem.
First, let's rewrite the mixed numbers as improper fractions. To convert a mixed number to an improper fraction, multiply the whole number by the denominator (the bottom number), and then add the numerator (the top number). Write the sum as the numerator of the improper fraction and keep the denominator the same.
For 2 3/10, multiply 2 by 10 and then add 3 to get the numerator: (2 * 10) + 3 = 23. Therefore, 2 3/10 can be written as the improper fraction 23/10.
For 9 4/5, multiply 9 by 5 and then add 4 to get the numerator: (9 * 5) + 4 = 49. Therefore, 9 4/5 can be written as the improper fraction 49/5.
Now that we have the improper fractions, we can add them together. To add fractions, we need a common denominator. In this case, the common denominator is 10 (the denominator of the first fraction) since it is the least common multiple of 10 and 5.
To make the denominators the same, we need to find the equivalent fractions with a denominator of 10. To do this, we multiply the numerator and denominator of each fraction by the same value.
For 23/10, multiplying the numerator and denominator by 1 gives the equivalent fraction 23/10.
For 49/5, multiplying the numerator and denominator by 2 gives the equivalent fraction 98/10.
Now that both fractions have a denominator of 10, we can add them together:
23/10 + 98/10 = (23 + 98)/10 = 121/10.
The resulting fraction, 121/10, is an improper fraction. To reduce it to the lowest terms, you can find the greatest common divisor (GCD) of the numerator and denominator, which is 1. By dividing both the numerator and denominator by 1, we get the final answer: 121/10.
I hope this step-by-step explanation helps you understand the solution. Let me know if you have any further questions!