6,8/15 - 4,21/45
To solve the expression 6,8/15 - 4,21/45, first, we need to convert the mixed numbers into improper fractions and then perform the subtraction. Here's how to do it step by step:
Convert mixed numbers to improper fractions: For 6,8/15, the improper fraction is (6 × 15 + 8) / 15 = (90 + 8) / 15 = 98/15. For 4,21/45, the improper fraction is (4 × 45 + 21) / 45 = (180 + 21) / 45 = 201/45.
Now we have 98/15 - 201/45. But before we can subtract these, we need a common denominator. The least common multiple of 15 and 45 is 45 (since 45 is a multiple of 15).
Convert the first fraction to have the common denominator of 45: The first fraction 98/15 needs to be multiplied by 3/3 to convert it to a denominator of 45 because 15 × 3 = 45. So, we have: (98/15) × (3/3) = (98 × 3) / (15 × 3) = 294/45.
The second fraction 201/45 already has a denominator of 45, so it stays the same.
Now we can subtract the two fractions since they have the same denominator: 294/45 - 201/45 = (294 - 201) / 45 = 93/45.
Simplify the fraction if possible. In this case, 93 and 45 have a common factor of 3, so we can simplify: (93 ÷ 3) / (45 ÷ 3) = 31/15.
The simplified result of the expression 6,8/15 - 4,21/45 is an improper fraction, 31/15, which can be translated back into a mixed number if desired:
- Convert the improper fraction back to a mixed number: 31 divided by 15 is equal to 2 with a remainder of 1. So, the mixed number is 2 1/15.
So the final result of the expression is 2 1/15.
