Find the sum Simplify if possible
Show ur work pls
5 2/16+ 2 3/8
3 / 8 = 2 ∙ 3 / 2 ∙ 8 = 6 /15
5 2/16 + 2 3/8 = 5 2/16 + 2 6/15 =
5 + 2 + 2/16 +6/16 = 7 + 8/16 = 7 8/16 = 7 + 8 ∙ 1 / 8 ∙ 2 = 7 + 1 / 2
5 2/16 + 2 3/8 = 7 1/2 = 7.5
3 / 8 = 2 ∙ 3 / 2 ∙ 8 = 6 /16
5 2/16 + 2 3/8 = 5 2/16 + 2 6/16 =
To find the sum, we need to add the two mixed numbers together. Here's how you can do it step by step:
Step 1: Convert the mixed numbers to improper fractions.
5 2/16 can be converted to an improper fraction by multiplying the whole number (5) by the denominator (16) and adding the numerator (2). That gives us (5 * 16) + 2 = 82. So, 5 2/16 can be rewritten as 82/16.
2 3/8 can also be converted to an improper fraction. Multiply the whole number (2) by the denominator (8) and add the numerator (3). That gives us (2 * 8) + 3 = 19. So, 2 3/8 can be rewritten as 19/8.
Step 2: Add the fractions together. To do that, we need a common denominator, which in this case is 16 (the least common multiple of 16 and 8).
First, we need to adjust the fraction 19/8 to have a denominator of 16. Multiply the numerator (19) and the denominator (8) by 2 to get 38/16.
Now, we can add the fractions: 82/16 + 38/16 = (82 + 38)/16 = 120/16.
Step 3: Simplify the fraction, if possible. In this case, the numerator (120) and denominator (16) share a common factor of 8. Divide both the numerator and denominator by 8 to simplify the fraction.
120/16 can be simplified to 15/2.
Therefore, 5 2/16 + 2 3/8 simplifies to 15/2.
since 2/16 = 1/8, it's just
5 1/8 + 2 3/8 = 7 4/8 = _____