Question

А)1/3+1/5+1/2=. б)3/5+1/6+1/2=

Answer 1

А)1/3+1/5+1/2=10/30+6/30+15/30=
31/30=1 1/30

б)3/5+1/6+1/2=18/30+5/30+15/30=
38/30=1 4/15

Answer 2

Let's solve the two arithmetic expressions:

а) 1/3 + 1/5 + 1/2

To add fractions, we need to find a common denominator. In this case, the least common denominator (LCD) is 30 (the smallest number that all the denominators, 3, 5, and 2, can divide into).

1/3 can be converted to 10/30 (multiply numerator and denominator by 10) 1/5 can be converted to 6/30 (multiply numerator and denominator by 6) 1/2 can be converted to 15/30 (multiply numerator and denominator by 15)

Now, we can add the fractions:

1/3 + 1/5 + 1/2 = 10/30 + 6/30 + 15/30 = (10 + 6 + 15) / 30 = 31 / 30

So, the result is 31/30.

б) 3/5 + 1/6 + 1/2

Again, let's find the LCD, which is 30 in this case.

3/5 can be converted to 18/30 (multiply numerator and denominator by 6) 1/6 can be converted to 5/30 (multiply numerator and denominator by 5) 1/2 can be converted to 15/30 (multiply numerator and denominator by 15)

Now, we can add the fractions:

3/5 + 1/6 + 1/2 = 18/30 + 5/30 + 15/30 = (18 + 5 + 15) / 30 = 38 / 30

Since the numerator (38) is greater than the denominator (30), we can simplify the fraction:

38 / 30 = 19 / 15

So, the result is 19/15.