$\frac{7}{8}$ of the local science bowl contestants were competing for the first time, while $\frac{4}{7}$ of the regional science bowl contestants were competing for the first time. Which science bowl had a greater fraction of first-time contestants? $\newline$ Choices: $\newline$ (A) local $\newline$ (B) regional

Full solution

\frac{7}{8}

of the local science bowl contestants were competing for the first time, while

\frac{4}{7}

of the regional science bowl contestants were competing for the first time. Which science bowl had a greater fraction of first-time contestants?

\newline

Choices:

\newline

(A) local

\newline

(B) regional

Convert to decimal: Convert $7/8$ to a decimal by dividing $7$ by $8$ . $\newline$ Calculation: $7 \div 8 = 0.875$
Compare decimals: Convert $\frac{4}{7}$ to a decimal by dividing $4$ by $7$ . $\newline$ Calculation: $4 \div 7 = 0.571$
Compare decimals: Convert $\frac{4}{7}$ to a decimal by dividing $4$ by $7$ . $\newline$ Calculation: $4 \div 7 = 0.571$ Compare the two decimals to determine which is greater. $\newline$ $0.875$ (local) is greater than $0.571$ (regional).