Subjects MATHEMATICS

Fraction Representation

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Fraction Representation


1. The problem involves understanding and comparing fractions represented by shaded parts of circles and bar models. 2. Fractions represent parts of a whole. The numerator is the number of shaded parts, and the denominator is the total number of equal parts. 3. For the first circle: 4 shaded parts out of 6 total parts means the fraction is $\frac{4}{6}$. Simplify by dividing numerator and denominator by 2: $\frac{4 \div 2}{6 \div 2} = \frac{2}{3}$. 4. For the second circle: 5 shaded parts out of 6 total parts means the fraction is $\frac{5}{6}$. 5. The orange circle is divided into 3 equal parts, all shaded, so the fraction is $\frac{3}{3} = 1$ (a whole). 6. The yellow circle has 1 out of 4 parts shaded, so the fraction is $\frac{1}{4}$. 7. For the bar models: - First bar: 5 out of 8 sections filled, fraction $\frac{5}{8}$. - Second bar: 4 out of 8 sections filled, fraction $\frac{4}{8} = \frac{1}{2}$. - Third bar: 5 out of 5 sections filled, fraction $\frac{5}{5} = 1$. - Fourth bar: 4 out of 7 sections filled, fraction $\frac{4}{7}$. - Fifth bar: 3 out of 8 sections filled, fraction $\frac{3}{8}$. 8. The dissimilar fraction mentioned is $\frac{2}{3}$, which is equivalent to the simplified fraction from the first circle. 9. Understanding these fractions helps in comparing parts of wholes and recognizing equivalent fractions. Final answer: The fractions represented are $\frac{2}{3}$, $\frac{5}{6}$, $1$, $\frac{1}{4}$, $\frac{5}{8}$, $\frac{1}{2}$, $1$, $\frac{4}{7}$, and $\frac{3}{8}$, with $\frac{2}{3}$ as a key simplified fraction.