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11. \\(\\frac{5}{6} - \\frac{1}{6}\\) 12. \\(\\frac{8}{100} - \\frac{3}…

Question

  1. \\(\frac{5}{6} - \frac{1}{6}\\)
  2. \\(\frac{8}{100} - \frac{3}{100}\\)
  3. \\(\frac{3}{4} - \frac{1}{4}\\)
  4. \\(\frac{6}{8} - \frac{4}{8}\\)
  5. \\(\frac{5}{6} - \frac{4}{6}\\)
  6. \\(\frac{40}{10} - \frac{20}{10}\\)
  7. \\(\frac{80}{100} - \frac{40}{100}\\)
  8. \\(\frac{19}{10} - \frac{8}{10}\\)

topic 9 | lesson 9 - 5

Explanation:

Response
Problem 11: $\boldsymbol{\frac{5}{6} - \frac{1}{6}}$

Step1: Subtract numerators (same denominator)

For fractions with the same denominator, we subtract the numerators and keep the denominator. So, $\frac{5 - 1}{6}$.

Step2: Simplify the numerator

$5 - 1 = 4$, so we have $\frac{4}{6}$. We can simplify this by dividing numerator and denominator by 2: $\frac{4\div2}{6\div2} = \frac{2}{3}$. But since the problem might just want the result before simplifying (or as is), the direct subtraction gives $\frac{4}{6}$ or simplified $\frac{2}{3}$.

Step1: Subtract numerators (same denominator)

Using the rule for subtracting fractions with the same denominator: $\frac{8 - 3}{100}$.

Step2: Simplify the numerator

$8 - 3 = 5$, so the result is $\frac{5}{100}$. This can be simplified to $\frac{1}{20}$, but the direct result is $\frac{5}{100}$.

Step1: Subtract numerators (same denominator)

For same - denominator fractions: $\frac{3 - 1}{4}$.

Step2: Simplify the numerator

$3 - 1 = 2$, so we get $\frac{2}{4}$, which simplifies to $\frac{1}{2}$.

Answer:

$\frac{4}{6}$ (or $\frac{2}{3}$)

Problem 12: $\boldsymbol{\frac{8}{100} - \frac{3}{100}}$