Question

4 /5 + 3 /15 - 2 /3 =???????

Answer 1

Answer:

the answer is 1/3

Step-by-step explanation:

3/15 equals 1/5 so 1/5+4/5=1 so 1-2/3=1/3

Answer 2

Answer:

1/3

Step-by-step explanation:

1) Simplify 3/15 to 1/5.

4/5 + 1/5 - 2/3

2)  Find the Least Common Denominator (LCD) of D) of $\frac{4}{5},\frac{1}{5},\frac{2}{3}$  In other words, find the Least Common Multiple (LCM) of 5,5,3.

Method 1: By Listing Multiples

1)  List the multiples of each number.

Multiples of 5 : 5, 10, 15, ...

Multiples of 5 : 5, 10, 15, ...

Multiples of 3 : 3, 6, 9, 12, 15, ...

2)  Find the smallest number that is shared by all rows above. This is the LCM.

LCM = 15

Method 2: By Prime Factors

1)  List the prime factors of each number.

Prime Factors of 5 : 5

Prime Factors of 5 : 5

Prime Factors of 3 : 3

2) Find the union of these primes.

3,5

Multiply these numbers: 3 × 15 = 15. This is the LCM.

LCM = 15

3)  Make the denominators the same as the LCD.

$\frac{4*3}{5*12} +\frac{1*3}{5*3} -\frac{2*5}{3*5}$

4)  Denominators are now the same.

12/15 + 3/15 - 10/15

5)  Join the denominators.

12 + 3 - 10/ 15

6)  Simplify.

5/15

7) Simplify.

1/3

Decimal Form: 0.333333