Answer :
Sure, let's go through each fraction and simplify it step-by-step:
1. Simplify [tex]\( \frac{13.16}{32} \)[/tex]:
- We don't usually simplify decimal fractions directly like this in mathematical simplification. So let's treat it as it appears and note that it stays as [tex]\( \frac{13.16}{32} \)[/tex].
2. Simplify [tex]\( \frac{16}{16} \)[/tex]:
- This fraction is already in its simplest form. Any number divided by itself equals 1.
- So, [tex]\( \frac{16}{16} = 1 \)[/tex].
3. Simplify [tex]\( \frac{32}{16} \)[/tex]:
- Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 16.
- [tex]\( \frac{32 \div 16}{16 \div 16} = \frac{2}{1} \)[/tex].
- Simplified, it's 2.
4. Simplify [tex]\( \frac{50}{75} \)[/tex]:
- The GCD of 50 and 75 is 25.
- [tex]\( \frac{50 \div 25}{75 \div 25} = \frac{2}{3} \)[/tex].
5. Simplify [tex]\( \frac{50}{25} \)[/tex]:
- The GCD of 50 and 25 is 25.
- [tex]\( \frac{50 \div 25}{25 \div 25} = \frac{2}{1} \)[/tex].
- Simplified, it's 2.
6. Simplify [tex]\( \frac{75}{25} \)[/tex]:
- The GCD of 75 and 25 is 25.
- [tex]\( \frac{75 \div 25}{25 \div 25} = \frac{3}{1} \)[/tex].
- Simplified, it's 3.
7. Simplify [tex]\( \frac{44}{160} \)[/tex]:
- The GCD of 44 and 160 is 4.
- [tex]\( \frac{44 \div 4}{160 \div 4} = \frac{11}{40} \)[/tex].
8. Simplify [tex]\( \frac{80}{96} \)[/tex]:
- The GCD of 80 and 96 is 16.
- [tex]\( \frac{80 \div 16}{96 \div 16} = \frac{5}{6} \)[/tex].
9. Simplify [tex]\( \frac{48}{72} \)[/tex]:
- The GCD of 48 and 72 is 24.
- [tex]\( \frac{48 \div 24}{72 \div 24} = \frac{2}{3} \)[/tex].
10. Simplify [tex]\( \frac{117}{9} \)[/tex]:
- The GCD of 117 and 9 is 9.
- [tex]\( \frac{117 \div 9}{9 \div 9} = \frac{13}{1} \)[/tex].
- Simplified, it's 13.
11. Simplify [tex]\( \frac{64}{80} \)[/tex]:
- The GCD of 64 and 80 is 16.
- [tex]\( \frac{64 \div 16}{80 \div 16} = \frac{4}{5} \)[/tex].
Each fraction has been reduced to its simplest form based on the greatest common divisor. If you have any further questions, feel free to ask!
1. Simplify [tex]\( \frac{13.16}{32} \)[/tex]:
- We don't usually simplify decimal fractions directly like this in mathematical simplification. So let's treat it as it appears and note that it stays as [tex]\( \frac{13.16}{32} \)[/tex].
2. Simplify [tex]\( \frac{16}{16} \)[/tex]:
- This fraction is already in its simplest form. Any number divided by itself equals 1.
- So, [tex]\( \frac{16}{16} = 1 \)[/tex].
3. Simplify [tex]\( \frac{32}{16} \)[/tex]:
- Divide both the numerator and the denominator by their greatest common divisor (GCD), which is 16.
- [tex]\( \frac{32 \div 16}{16 \div 16} = \frac{2}{1} \)[/tex].
- Simplified, it's 2.
4. Simplify [tex]\( \frac{50}{75} \)[/tex]:
- The GCD of 50 and 75 is 25.
- [tex]\( \frac{50 \div 25}{75 \div 25} = \frac{2}{3} \)[/tex].
5. Simplify [tex]\( \frac{50}{25} \)[/tex]:
- The GCD of 50 and 25 is 25.
- [tex]\( \frac{50 \div 25}{25 \div 25} = \frac{2}{1} \)[/tex].
- Simplified, it's 2.
6. Simplify [tex]\( \frac{75}{25} \)[/tex]:
- The GCD of 75 and 25 is 25.
- [tex]\( \frac{75 \div 25}{25 \div 25} = \frac{3}{1} \)[/tex].
- Simplified, it's 3.
7. Simplify [tex]\( \frac{44}{160} \)[/tex]:
- The GCD of 44 and 160 is 4.
- [tex]\( \frac{44 \div 4}{160 \div 4} = \frac{11}{40} \)[/tex].
8. Simplify [tex]\( \frac{80}{96} \)[/tex]:
- The GCD of 80 and 96 is 16.
- [tex]\( \frac{80 \div 16}{96 \div 16} = \frac{5}{6} \)[/tex].
9. Simplify [tex]\( \frac{48}{72} \)[/tex]:
- The GCD of 48 and 72 is 24.
- [tex]\( \frac{48 \div 24}{72 \div 24} = \frac{2}{3} \)[/tex].
10. Simplify [tex]\( \frac{117}{9} \)[/tex]:
- The GCD of 117 and 9 is 9.
- [tex]\( \frac{117 \div 9}{9 \div 9} = \frac{13}{1} \)[/tex].
- Simplified, it's 13.
11. Simplify [tex]\( \frac{64}{80} \)[/tex]:
- The GCD of 64 and 80 is 16.
- [tex]\( \frac{64 \div 16}{80 \div 16} = \frac{4}{5} \)[/tex].
Each fraction has been reduced to its simplest form based on the greatest common divisor. If you have any further questions, feel free to ask!
