Whats 12 8/15 - 7 + 7/15 +15 in the simplest form
To simplify the expression, we must first convert all the mixed numbers to improper fractions.
12 8/15 = ((15 * 12) + 8) / 15 = (180 + 8) / 15 = 188/15
7/15 remains the same.
15 can be written as 15/1.
Now, we can add all the fractions together:
188/15 - 7/1 + 7/15 + 15/1
To add these fractions, we need to find a common denominator. The least common multiple of 15 and 1 is 15.
Converting all the fractions to have a denominator of 15:
(188 * 1)/ (15 * 1) - (7 * 15)/ (1 * 15) + (7 * 1)/ (15 * 1) + (15 * 15)/ (1 * 15)
= 188/15 - 105/15 + 7/15 + 225/15
Now, we can combine the fractions:
= (188 - 105 + 7 + 225) / 15
= 315/15
= 21
So, 12 8/15 - 7 + 7/15 + 15 simplifies to 21.
1 1/2 - 3/4
To simplify 1 1/2 - 3/4, we need to convert the mixed number into an improper fraction and then subtract the fractions.
1 1/2 can be written as (2 * 1 + 1) / 2 = 3/2.
Now we can subtract the fractions:
3/2 - 3/4
To subtract these fractions, we need to find a common denominator. The least common multiple of 2 and 4 is 4.
Converting all the fractions to have a denominator of 4:
(3 * 2)/(2 * 2) - (3 * 1)/(4 * 1)
= 6/4 - 3/4
Now, we can subtract the numerators:
= (6 - 3) / 4
= 3/4
So, 1 1/2 - 3/4 simplifies to 3/4.
-12 - (-6)
To simplify -12 - (-6), we can rewrite the double negative as addition:
-12 + 6
Now, we can subtract the numbers:
-12 + 6 = -6
Therefore, -12 - (-6) simplifies to -6.
-1/4 + -3/5
To simplify -1/4 + -3/5, we need to find a common denominator for the fractions. The least common multiple of 4 and 5 is 20.
Converting the fractions to have a denominator of 20:
(-1 * 5)/(4 * 5) + (-3 * 4)/(5 * 4)
= -5/20 - 12/20
Now, we can add the fractions:
= (-5 - 12) / 20
= -17/20
So, -1/4 + -3/5 simplifies to -17/20.
5-9
To simplify 5 - 9, we simply subtract the two numbers:
5 - 9 = -4
Therefore, 5 - 9 simplifies to -4.