Fractions Quiz for Class 5

Adding Fractions

• To add fractions, find a common denominator.
• For $\frac{1}{4}$ and $\frac{1}{2}$, the least common denominator is 4.
• Convert $\frac{1}{2}$ to $\frac{2}{4}$.
• Adding: $\frac{1}{4} + \frac{2}{4} = \frac{3}{4}$.

Equivalent Fractions

• A fraction is equivalent if it can be simplified or adjusted without changing its value.
• $\frac{3}{6}$ can be simplified by dividing both numerator and denominator by 3.
• This results in $\frac{1}{2}$, which is the equivalent fraction.

Product of Fractions

• To find the product of two fractions, multiply the numerators and then the denominators.
• For $\frac{2}{3}$ and $\frac{3}{4}$:
  • Numerators: $2 \times 3 = 6$.
  • Denominators: $3 \times 4 = 12$.
  • Product is $\frac{6}{12}$ which can be simplified to $\frac{1}{2}$.

Comparing Fractions

• To compare $\frac{5}{12}$ and $\frac{1}{2}$, convert $\frac{1}{2}$ to a fraction with a denominator of 12: $\frac{1}{2} = \frac{6}{12}$.
• Now compare $\frac{5}{12}$ and $\frac{6}{12}$.
• $\frac{6}{12}$ is greater, hence $\frac{1}{2}$ represents a greater value.

Subtracting Fractions

• To find the difference, ensure the fractions have a common denominator.
• For $\frac{7}{8}$ and $\frac{1}{4}$, convert $\frac{1}{4}$ to $\frac{2}{8}$.
• Calculate: $\frac{7}{8} - \frac{2}{8} = \frac{5}{8}$.