3 1/10 + 14 2/5
Change 2/5 to 4/10. Add them the way I showed you for the last problem.
31/10 + 72/5
(31+144)/10 = 175/10
= 17 1/2
To find the sum of 3 1/10 and 14 2/5, you first need to convert the mixed numbers into improper fractions.
To convert 3 1/10 to an improper fraction:
Multiply the whole number (3) by the denominator (10), then add the numerator (1). This gives you: 3 * 10 + 1 = 30 + 1 = 31.
So, 3 1/10 as an improper fraction is 31/10.
To convert 14 2/5 to an improper fraction:
Multiply the whole number (14) by the denominator (5), then add the numerator (2). This gives you: 14 * 5 + 2 = 70 + 2 = 72.
So, 14 2/5 as an improper fraction is 72/5.
Now that you have both numbers converted to improper fractions, you can add them together. To add fractions, you need a common denominator. In this case, the common denominator is 10 (since both fractions have a 10 in the denominator).
Now the calculation:
31/10 + 72/5
To add fractions with the same denominator, you simply add the numerators and keep the common denominator.
(31 + 72) / 10
103/10
Therefore, the sum of 3 1/10 and 14 2/5 is 103/10.