Find the LCD and add the fractions.

1/125 + 4/50=

11/24
1/1250
1/35
551/6250
(Points: 5)



im not getting the concept of this some help is really needed please

LCD = least common denominator

The LCD is the smallest number that can be divided evenly by both denominators. One way to do that is to list the multiples.

125, 250, 375, 525
50, 100, 150, 200, 250, 300

The smallest number in both lists is 250.

250 / 125 = 2
1/125 * 2 = 2/250

250/50 = 5
4/50 * 5 = 20/250

2/250 + 20/250 = 22/250

Simplifying 22/250 = 11/125

Study this site for a further explanation.

http://www.mathsisfun.com/least-common-denominator.html

thanks very much i now have a better understanding

You're welcome. I'm glad I could help.

20/250= 10/125

To find the LCD (Least Common Denominator) and add the fractions, you need to follow these steps:

Step 1: Identify the denominators of the fractions.
In this case, the denominators are 125 and 50.

Step 2: Determine the prime factors of each denominator.
To find the prime factors of 125:
125 = 5 × 5 × 5.

To find the prime factors of 50:
50 = 2 × 5 × 5.

Step 3: Find the highest power of each prime factor.
The highest power of 5 is 5^3 (since 125 has three 5's).
The highest power of 2 is 2^1 (since 50 has one 2).

Step 4: Calculate the LCD.
The LCD is obtained by multiplying the highest powers of each prime factor:
LCD = 5^3 × 2^1 = 125 × 2 = 250.

Step 5: Convert the fractions to have the LCD as the denominator.
To convert the first fraction, we need to multiply the numerator and denominator by 2:
1/125 × 2/2 = 2/250.

To convert the second fraction, we need to multiply the numerator and denominator by 5:
4/50 × 5/5 = 20/250.

Step 6: Add the fractions.
Now that both fractions have the same denominator (250), we can add them together:
2/250 + 20/250 = 22/250.

Step 7: Simplify the result, if necessary.
The result, 22/250, may be simplified by dividing the numerator and denominator by their greatest common factor, which is 2:
22 ÷ 2 / 250 ÷ 2 = 11/125.

So, the final answer is 11/125.