Compare Fractions: Finding Lesser Value Between 2/7 and 3/8

To solve this problem, we will compare the fractions $\frac{2}{7}$ and $\frac{3}{8}$ by finding a common denominator and then converting them to equivalent fractions:

• Step 1: Find the least common denominator (LCD) of 7 and 8. Since 7 and 8 are coprime (they have no common factors other than 1), the LCD is simply their product, $56$.
• Step 2: Convert each fraction to an equivalent fraction with the denominator of 56.
• To convert $\frac{2}{7}$ to a fraction with a denominator of 56: Multiply both the numerator and the denominator by 8 (since $7 \times 8 = 56$):
  $\frac{2}{7} = \frac{2 \times 8}{7 \times 8} = \frac{16}{56}$.
• To convert $\frac{3}{8}$ to a fraction with a denominator of 56: Multiply both the numerator and the denominator by 7 (since $8 \times 7 = 56$):
  $\frac{3}{8} = \frac{3 \times 7}{8 \times 7} = \frac{21}{56}$.
• Step 3: Compare the two fractions $\frac{16}{56}$ and $\frac{21}{56}$. Since 16 is less than 21, $\frac{2}{7}$ is less than $\frac{3}{8}$.

Therefore, Marcus eats less of the pizza than Silvia.

The correct answer is Marcus.