The factors of 9 are 1, 3, 9 The factors of 16 are 1, 2, 4, 8, 16 The common factor of 9 and 16 is 1
3/4 + 2 1/4 + 3/4 + 9/16 ~ Begin by making all mixed numbers improper fractions 2 1/4 --> (2*4+1)/4 --> 9/4 3/4 + 9/4 + 3/4 + 9/16 ~ Next, make all denominators the same by finding a common denominator (in this case, 16) 3/4 * 4/4 --> 12/16 9/4 * 4/4 --> 36/16 3/4 * 4/4 --> 12/16 12/16 + 36/16 + 12/16 + 9/16 ~ Now add all of the numerators (12+36+12+9)/16 (69)/16 69/16 Either leave the answer as 69/16 or use a calculator to find: 4.3125
9/16 + 1/4 = 9/16 + 4/16 = 13/16.
The factors of 16 are 2, 4 and 8. The factors of 36 are 2, 4, 9, 12 and 18. The common factors are therefore 2 and 4. The common prime factor is 2.
Example: 3/4 - 9/16 = ?/? You have to find the lcm/THE LEAST COMMON MULTIPLE 4: 4,8,12,16,20,24.... 16: 16....
9 = 1 x 3 x 3 16 = 1 x 4 x 4 The only common factor of 9 and 16 is 1.
The LCM of 4, 9, and 15 is 144
The factors of 9 are 1, 3, 9 The factors of 16 are 1, 2, 4, 8, 16 The common factor of 9 and 16 is 1
Factors of 4: 1, 2, 4 Factors of 9: 1, 3, 9 Factors of 16: 1, 2, 4, 8, 16 GCF (4, 9, 16) = 1
144
3/4 + 2 1/4 + 3/4 + 9/16 ~ Begin by making all mixed numbers improper fractions 2 1/4 --> (2*4+1)/4 --> 9/4 3/4 + 9/4 + 3/4 + 9/16 ~ Next, make all denominators the same by finding a common denominator (in this case, 16) 3/4 * 4/4 --> 12/16 9/4 * 4/4 --> 36/16 3/4 * 4/4 --> 12/16 12/16 + 36/16 + 12/16 + 9/16 ~ Now add all of the numerators (12+36+12+9)/16 (69)/16 69/16 Either leave the answer as 69/16 or use a calculator to find: 4.3125
LCM is the smallest number that both numbers can go into evenly with nothing left over. It this case it is . . .576. Divide 36 and 64 by all their common factors. ---- 36/4 = 9 64/4 =16 9 and 16 have no more common factors Now multiple 4 x 4 x 9 x 16 and you get the LCM of 576.
The common factors of 16 and 36 are 1, 2 and 4. factors of 16 are 1, 2, 4, 8, 16 Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36 So common factors are 1, 2 and 4
The greatest common factor (GCF) of 9, 16, and 25 is 1 The factors of 9 are: 1, 3, 9 The factors of 16 are: 1, 2, 4, 8, 16 The factors of 25 are: 1, 5, 25 The common factors are: 1 They're all squares of prime numbers
The factors of 16 are 2, 4 and 8. The factors of 36 are 2, 4, 9, 12 and 18. The common factors are therefore 2 and 4. The common prime factor is 2.
9/16 + 1/4 = 9/16 + 4/16 = 13/16.
16 and 9 are coprime (they have no common factors), so the LCM is 16 x 9 = 144.