To put fractions in lowest form, you need to simplify them by dividing both the numerator and denominator by their greatest common divisor (GCD). Let's simplify each fraction:
1. 4/10:
The GCD of 4 and 10 is 2. Divide both numerator and denominator by 2 to get 2/5.
2. 27/81:
The GCD of 27 and 81 is 27. Divide both numerator and denominator by 27 to get 1/3.
3. 35/90:
The GCD of 35 and 90 is 5. Divide both numerator and denominator by 5 to get 7/18.
4. 18/36:
The GCD of 18 and 36 is 18. Divide both numerator and denominator by 18 to get 1/2.
5. 21/66:
The GCD of 21 and 66 is 3. Divide both numerator and denominator by 3 to get 7/22.
6. 24/100:
The GCD of 24 and 100 is 4. Divide both numerator and denominator by 4 to get 6/25.
7. 54/63:
The GCD of 54 and 63 is 9. Divide both numerator and denominator by 9 to get 6/7.
8. 21/33:
The GCD of 21 and 33 is 3. Divide both numerator and denominator by 3 to get 7/11.
9. 24/81:
The GCD of 24 and 81 is 3. Divide both numerator and denominator by 3 to get 8/27.
10. 15/63:
The GCD of 15 and 63 is 3. Divide both numerator and denominator by 3 to get 5/21.
11. 6/32:
The GCD of 6 and 32 is 2. Divide both numerator and denominator by 2 to get 3/16.
12. 64/100:
The GCD of 64 and 100 is 4. Divide both numerator and denominator by 4 to get 16/25.
By simplifying each fraction using the greatest common divisor, we have expressed them in their lowest form.