Subtract; then reduce answer to lowest terms.5/22- 1/41

To subtract fractions, we need to find a common denominator. The common denominator is the least common multiple (LCM) of the denominators. In this case, the denominators are 22 and 41.

To find the LCM of 22 and 41, we can list the multiples of both numbers and find the smallest number that appears in both lists:

Multiples of 22: 22, 44, 66, 88, 110, ...

Multiples of 41: 41, 82, 123, 164, 205, ...

From the lists, we can see that the least common multiple (LCM) of 22 and 41 is 902.

Now that we have the common denominator (902), we can rewrite the fractions with this denominator:

5/22 = (5 * 41) / (22 * 41) = 205/902
1/41 = (1 * 22) / (41 * 22) = 22/902

Now we can subtract the fractions:

205/902 - 22/902 = (205 - 22) / 902 = 183/902

To reduce the fraction to its lowest terms, we can find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it.

The GCD of 183 and 902 is 1, so the fraction 183/902 is already in its lowest terms.

Therefore, the result of subtracting 5/22 - 1/41 and reducing the answer to the lowest terms is 183/902.