Simplify \(\frac{13}{100} \div \frac{11}{20}\).

1. \(\frac{13}{100} \div \frac{11}{20}\)
2. Convert the division to multiplication by taking the reciprocal of the second fraction:
\[ \frac{13}{100} \times \frac{20}{11} \]
3. Multiply the numerators and denominators:
\[ \frac{13 \times 20}{100 \times 11} = \frac{260}{1100} \]
4. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (20):
\[ \frac{260 \div 20}{1100 \div 20} = \frac{13}{55} \]

So, \(\frac{13}{100} \div \frac{11}{20} = \frac{13}{55}\).

13/100 ÷ 11/20 = first, you transform the ÷ to a ×, and you reverse the second fraction: 13/100 × 20/11= then, you simplify 100 and 20 by dividing them by 10: 13/100÷10 x 20÷10/11 = 13/10 x 2/11 then, you multiply the numerators by each other, and the denominators by each others: 13×2/10×11 = 26/110 since 26 and 110 can be divided by 2, so you simplify them by dividing them by 2: 26÷2/110÷2 = 13/55 and that's the final answer: 13/55 Hope this Helps :D

Answered by SoapMcTavish | 2024-06-10

The expression 100 13 ​ ÷ 20 11 ​ simplifies to 55 13 ​ . This is achieved by converting the division to multiplication with the reciprocal, multiplying the fractions, and then simplifying. The final answer is 55 13 ​ .
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Answered by SoapMcTavish | 2024-09-30