1. 1/2, 7/10
2.5/8, 6/7
Also explain how you got it
Answers:
The least common denominator of 1/2 and 7/10 is 10. 10 is a multiple of both 2 and 10 (meaning 10 is divisible by both) and is the least number that can be divided by 2 and 10. Therefore if we make the fractions 1/2 and 7/10 similar, they will become 5/10 and 7/10 (to make them similar fractions, divide the least common denominator by the denominator of the fraction and then multiply the quotient by the numerator of the fraction).
For 5/8 and 6/7, the least common denominator is 56. 56 is the least number that is both divisible by 8 and 7. If we make the fractions 5/8 and 6/7, they will become 35/56 and 48/56. You can cross-multiply to check if the original fractions and the fractions in the least common denominator are equal.
2.
I just guessed.
in the first one..the LCD is 10. 10can be both divided by 10.
the other one is 56. 56 can be divided both 7 and 8.
10&56 are the least.
The LCD is found my multiplying the 2 denominators of the fractions. Some times those can be reduced. Divide that answer by 2 to see if both denominators can be equally divided by it. If they cant, use the larger number you got when you first multiplied. You can always use the first number and reduce it down later. So the first one would be 10 because 2 and 10 both divide by 10. In the second one it would be 56 because anything less would not leave a whole number, and 8 and 7 are both divisible by 56. Hope this helps.
I think you want to get the LCM Of denominators
Step 1. Look out for the greater denominator i.e 10
Step 2. Now see if the other denominator i.e 2 has a multtiple which gives 10
Step 3. Yes 2 x 5 = 10
Hence 10 is LCM
Now take your second example:
Step 1. Look out for the greater denominator i.e 8
Step 2. Now see if the other denominator i.e 7 has a multtiple which gives 8. No
Step 3. Take a multiple of 8. ie. 2 x 8 =16
Step 2. Now see if the other denominator i.e 7 has a multtiple which gives16. No
Step 3. Take a next multiple of 8. ie. 3 x 8 =24
Step 2. Now see if the other denominator i.e 7 has a multtiple which gives 24 No
Proceed like this till you get an answer Yes.
7 x 8 = 56
Hence 56 is the LCM.
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