3 4/9+5 1/3
this is for Lesson 6: Addition with Mixed Numbers
Math 6 A Unit 6: Adding and Subtracting Fractions practice
d d c a d
ayyy its corect
Thanks it’s correct
To add mixed numbers, you need to first convert them into improper fractions and then add them. Here's how you can do it step by step:
1. First, convert the mixed numbers into improper fractions. To do this, multiply the whole number by the denominator and add the numerator. Write the result over the denominator.
3 4/9 = (3 * 9 + 4)/9 = 31/9
5 1/3 = (5 * 3 + 1)/3 = 16/3
So, 3 4/9 is equivalent to 31/9, and 5 1/3 is equivalent to 16/3.
2. Now, you can add the fractions. For adding fractions, the denominators must be the same. In this case, the denominators are already the same, so we can directly add the numerators and keep the same denominator.
31/9 + 16/3
To add the fractions, multiply the numerator of the first fraction (31) by the denominator of the second fraction (3), and do the same thing with the second fraction's numerator (16) and the first fraction's denominator (9). Then, add the two results.
(31 * 3)/(9 * 3) + (16 * 9)/(3 * 9)
93/27 + 144/27
3. Now that the fractions have the same denominator, you can add their numerators.
93/27 + 144/27 = (93 + 144)/27 = 237/27
4. Simplify the resulting fraction, if needed. In this case, you can simplify it by dividing the numerator and denominator by their greatest common divisor, which is 9.
237/27 = (237/9)/(27/9) = 26 9/27
So, the final result is 26 9/27.
Please note that you can further simplify this fraction by dividing the numerator and denominator by their greatest common divisor, but that is not required for this problem.