Answer:
1/3
Explanation:
1) Simplify 3/15 to 1/5.
4/5 + 1/5 - 2/3
2) Find the Least Common Denominator (LCD) of D) of
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.
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