Gracia and Jim were shooting free throws. Gracia made 4 out of 15 free throws. Jim missed 6 out of 16 free throws. Who made the free throw a greater fraction of the time?

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To determine who made a greater fraction of their free throws, we need to calculate the fraction of successful free throws for both Gracia and Jim.

Gracia's successful free throw fraction:
\[ \text{Fraction} = \frac{4}{15} \]

Jim's successful free throw fraction:
Jim missed 6 out of 16 free throws, which means he made:
\[ 16 - 6 = 10 \]
\[ \text{Fraction} = \frac{10}{16} \]
\[ \text{Simplified} = \frac{5}{8} \]

Now compare the two fractions:
\[ \frac{4}{15} \approx 0.267 \]
\[ \frac{5}{8} = 0.625 \]

Jim made a greater fraction of his free throws.

If Jim missed 6 out of 16 free throws, then he made 10/16 free throws. At the same time Gracia made 4/15 free rows. The common denominator of those fractions (if we simplify 10/16 to 5/8) is 120, so:
Garcia made 4/15 = 32/120 free throws Jim made 5/8 = 75/120 free throws
We can clearly see that Jim was more than two times better than Garcia.

Answered by SlowZasob | 2024-06-10

If Jim missed 6 out of 16 free throws, then he made 10/16 free throws. At the same time Gracia made 4/15 free rows. The common denominator of those fractions (if we simplify 10/16 to 5/8) is 120, so:
Garcia made 4/15 = 32/120 free throws
Jim made 5/8 = 75/120 free throws
We can clearly see that Jim was more than two times better than Garcia. ;

Answered by Jasmineeena | 2024-06-14

Jim made a greater fraction of his free throws compared to Gracia. Gracia's success rate was 15 4 ​ or approximately 0.267, while Jim's rate was 8 5 ​ or 0.625. Therefore, Jim performed better in making free throws.
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Answered by SlowZasob | 2024-09-30