Please help me with these:
1. 5/8 + 5/6 =
2. 2 3/5 + 4 4/5 =
3. 13 1/2 + 7 2/3 =
4. 3/8 - 3/8 =
Thanks!
You'll need to change these fractions to fractions with a common denominator.
I'll do the first one for you.
5/8 = 15/24
5/6 = 20/24
(15/24) + (20/24) = 35/24 = 1 11/24
I'll be glad to check your other answers.
1.
5 / 8 = ( 3 * 5 ) / ( 3 * 8 ) = 15 / 24
5 / 6 = ( 4 * 5 ) / ( 4 * 6 ) = 20 / 24
5 / 8 + 5 / 6 = 15 / 24 + 20 / 24 = 35 / 24 =
( 24 + 11 ) / 24 =
1 11 / 24
2.
2 3 / 5 + 4 4 / 5 = 2 + 4 + 3 / 5 + 4 / 5 =
6 + 7 / 5 = 6 + ( 5 + 2 ) / 5 =
6 + 1 + 2 / 5 = 7 2 / 5
3.
1 / 2 = 3 / 6
2 / 3 = 4 / 6
13 1 / 2 + 7 2 / 3 = 13 + 7 + 3 / 6 + 4 / 6 =
20 + 7 / 6 =
20 + ( 6 + 1 ) / 6 =
20 + 1 + 1 / 6 =
21 1 / 6
4.
3 / 8 - 3 / 8 = 0
Sure! I'd be happy to help you with these math problems. Let's go through each one step by step:
1. To add fractions, you need a common denominator. The common denominator is the lowest common multiple of the denominators. In this case, the denominators are 8 and 6. The lowest common multiple of 8 and 6 is 24. To convert the fractions to have a common denominator of 24, you can multiply the numerator and denominator of each fraction by the appropriate number. For 5/8, you would multiply both the numerator and denominator by 3 to get 15/24. For 5/6, you would multiply both the numerator and denominator by 4 to get 20/24. Now that the fractions have the same denominator, you can add them: 15/24 + 20/24 = (15 + 20)/24 = 35/24.
2. To add mixed numbers like these, you need to add both the whole numbers and the fractional parts separately. Start by adding the whole numbers: 2 + 4 = 6. Then, add the fractional parts. The fractional parts in this case are 3/5 and 4/5. Since the denominators are the same, you can simply add the numerators: 3 + 4 = 7. So, the sum of the fractional parts is 7/5. Finally, combine the whole number and the fractional part: 6 + 7/5 = 6 7/5.
3. Similar to the previous problem, start by adding the whole numbers: 13 + 7 = 20. Then, add the fractional parts. The fractional parts in this case are 1/2 and 2/3. To find a common denominator, we need to find the least common multiple of 2 and 3, which is 6. Now, convert the fractions to have a common denominator of 6. Multiply the numerator and denominator of 1/2 by 3 to get 3/6. Multiply the numerator and denominator of 2/3 by 2 to get 4/6. Now that the fractions have the same denominator, you can add them: 3/6 + 4/6 = (3 + 4)/6 = 7/6. Finally, combine the whole number and the fractional part: 20 + 7/6 = 20 7/6.
4. To subtract fractions, you also need a common denominator. In this case, the denominators are both 8, so they are already the same. You can simply subtract the numerators: 3 - 3 = 0. So, the difference is 0/8, which simplifies to 0.
I hope this helps you understand how to solve these problems! Let me know if you have any other questions.