Question

1/8+2 3/5 +2 7/8= 1-8/15=3-2/11=4-3 4/9=7 3/8-5=45-44 3/8=6 7/15-3 1/5=10 3/23-7 19/46=16 2/5-4 3/7=19 5/12-8 17/18=

Answer 1

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Answer 2

Let's solve each of these arithmetic problems step by step:

1. 1/8 + 2 3/5 + 2 7/8:

We can start by converting the mixed numbers to improper fractions: 2 3/5 = (2 x 5 + 3)/5 = 13/5 2 7/8 = (2 x 8 + 7)/8 = 23/8

Then, we can find a common denominator for all three fractions: 8 x 5 x 8 = 320

Now, we can rewrite each fraction with the common denominator: 1/8 = 40/320 13/5 = 832/320 23/8 = 920/320

Finally, we can add the fractions: 40/320 + 832/320 + 920/320 = 1792/320

Simplifying this fraction by dividing both the numerator and denominator by their greatest common factor (GCF) of 64 gives:

28/5

So the solution is: 1/8 + 2 3/5 + 2 7/8 = 28/5

2. 1-8/15:

We can subtract the mixed number by first converting it to an improper fraction: 1-8/15 = (1 x 15 - 8)/15 = 7/15

So the solution is: 1-8/15 = 7/15

3. 3-2/11:

We can subtract the mixed number by first converting it to an improper fraction: 3-2/11 = (3 x 11 - 2)/11 = 31/11

So the solution is: 3-2/11 = 31/11

4. 4-3 4/9:

We can subtract the mixed number by first converting it to an improper fraction: 4-3 4/9 = (4 x 9 - 3 x 9 + 4)/9 = 31/9

So the solution is: 4-3 4/9 = 31/9

5. 7 3/8-5:

We can subtract the whole number and fraction separately: 7 3/8 - 5 = 7 - 5 + 3/8 = 2 3/8

So the solution is: 7 3/8 - 5 = 2 3/8

6. 45-44 3/8:

We can subtract the whole number and fraction separately: 45 - 44 3/8 = 45 - 44 + 5/8 = 1 5/8

So the solution is: 45-44 3/8 = 1 5/8

7. 6 7/15-3 1/5:

We can subtract the mixed numbers by first converting them to improper fractions: 6 7/15 = (6 x 15 + 7)/15 = 97/15 3 1/5 = (3 x 5 + 1)/5 = 16/5

Then, we can find a common denominator for both fractions: 15 x 5 = 75

Now, we can rewrite each fraction with the common denominator: 97/15 = 647/75 16/5 = 48/15

Finally, we can subtract the fractions: 647/75 - 48/15 = (647 x 3 - 48 x 5)/225

Simplifying this fraction by dividing both the numerator and denominator by their GCF of 1 gives:

1421/225

So the solution is: 6