# Find the difference.

4 and two-fifths minus 1 and seven-tenths equals what number?

## To find the difference between 4 and two-fifths minus 1 and seven-tenths, you can follow these steps:

Step 1: Convert the mixed numbers to improper fractions.
4 and two-fifths = 4 + 2/5 = (4*5 + 2) / 5 = 22/5
1 and seven-tenths = 1 + 7/10 = (1*10 + 7) / 10 = 17/10

Step 2: Subtract the second fraction from the first fraction.
22/5 - 17/10

Step 3: Find a common denominator for the fractions.
The common denominator for 5 and 10 is 10.

Step 4: Rewrite the fractions with the common denominator.
22/5 - 17/10 = (22 * 2) / (5 * 2) - 17/10 = 44/10 - 17/10

Step 5: Subtract the numerators and keep the common denominator.
44/10 - 17/10 = (44 - 17) / 10 = 27/10

So, the difference between 4 and two-fifths minus 1 and seven-tenths is 27/10.

## To find the difference between 4 and two-fifths (4 2/5) and 1 and seven-tenths (1 7/10), we can follow these steps:

Step 1: Converts the mixed numbers into improper fractions.
4 2/5 is equivalent to (4 * 5 + 2) / 5 = 22/5.
1 7/10 is equivalent to (1 * 10 + 7) / 10 = 17/10.

Step 2: Subtract the two fractions.
22/5 - 17/10.

Step 3: Find a common denominator.
The common denominator of 5 and 10 is 10. So, we need to convert both fractions to have 10 as the denominator.

22/5 can be converted to (22 * 2) / (5 * 2) = 44/10.
17/10 remains the same.

Now, we have 44/10 - 17/10.

Step 4: Subtract the numerators and keep the denominator the same.
The difference is (44 - 17)/10 = 27/10.

Therefore, the difference between 4 2/5 and 1 7/10 is 2 and 7/10 or 2.7.