140/297 write fraction in simpest form
Can you simplify that fraction? Probably not, since you cannot divide both parts even by 2.
140 =2*5*2*7
297 = has no common factor with 140, can not divide it by 2, 5 or 7
so it is now in its simplest form, we can do nothing.
140 factor
factor of 140
To write the fraction 140/297 in simplest form, we need to find the greatest common divisor (GCD) of the numerator (140) and the denominator (297) and then divide both the numerator and the denominator by the GCD.
To find the GCD, we can use the Euclidean algorithm:
1. Divide 297 by 140: 297 ÷ 140 = 2 remainder 17.
2. Divide 140 by 17: 140 ÷ 17 = 8 remainder 4.
3. Divide 17 by 4: 17 ÷ 4 = 4 remainder 1.
4. Divide 4 by 1: 4 ÷ 1 = 4.
The GCD of 140 and 297 is 1, since it is the last non-zero remainder obtained in the Euclidean algorithm.
Now, we divide both the numerator and the denominator of the fraction by the GCD:
140 ÷ 1 = 140 and 297 ÷ 1 = 297.
Therefore, the fraction 140/297 in simplest form is 140/297.