To find the length of the smaller pieces into which Radha can cut the ribbons, we need to find the greatest common divisor (GCD) of the given ribbon lengths.
The GCD of 2.25 m and 1.8 m can be calculated as follows:
2.25 = 2 * 1.125
1.8 = 2 * 0.9
Since both lengths can be divided by 2, we can disregard it and focus on the remaining values:
1.125 and 0.9
To simplify the calculation, we can convert the lengths to their decimal form:
1.125 = 1125/1000 = 9/8
0.9 = 900/1000 = 9/10
Now, we find the GCD of 9 and 8:
GCD(9, 8) = 1
Since the GCD is 1, it means there is no common factor greater than 1 between the lengths 2.25 m and 1.8 m. Therefore, it is not possible to cut both ribbons into equal-length pieces.
In other words, there is no specific length that could be the length of the smaller pieces for both ribbons.