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QuestionMathematics

Write these fractions in their simplest form a) 2 / 10 b) 9 / 24
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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Simplify \frac{2}{10}

\frac{2}{10} = \frac{2 \div 2}{10 \div 2} = \frac{1}{5}
- To simplify this fraction, we need to find the greatest common factor (GCF) of 2 and 10 - The factors of 2 are: 1, 2 - The factors of 10 are: 1, 2, 5, 10 - The greatest common factor is 2 - Divide both numerator and denominator by 2

Step 3:
: Simplify \frac{9}{24}

\frac{9}{24} = \frac{9 \div 3}{24 \div 3} = \frac{3}{8}
- Find the factors of 9: 1, 3, 9 - Find the factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 - The greatest common factor is 3 - Divide both numerator and denominator by 3

Final Answer

a) \frac{2}{10} = \frac{1}{5} b) \frac{9}{24} = \frac{3}{8}