Question
For its school's food drive, Mrs. Bernard's class brought in 7/30 of the total food collected. Mr. Irving's class brought in 1/30 of the school's total. What fraction of the
total did the two classes together bring in? Simplify the answer if possible.
total did the two classes together bring in? Simplify the answer if possible.
Answers
GPT-4o mini
To find the total fraction of food collected by both Mrs. Bernard's class and Mr. Irving's class, we add the two fractions together:
\[
\text{Fraction from Mrs. Bernard's class} = \frac{7}{30}
\]
\[
\text{Fraction from Mr. Irving's class} = \frac{1}{30}
\]
Now, we can add the two fractions:
\[
\frac{7}{30} + \frac{1}{30} = \frac{7 + 1}{30} = \frac{8}{30}
\]
Next, we simplify the fraction \(\frac{8}{30}\). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
\[
\frac{8 \div 2}{30 \div 2} = \frac{4}{15}
\]
Thus, the fraction of the total food collected by both classes together is:
\[
\boxed{\frac{4}{15}}
\]
\[
\text{Fraction from Mrs. Bernard's class} = \frac{7}{30}
\]
\[
\text{Fraction from Mr. Irving's class} = \frac{1}{30}
\]
Now, we can add the two fractions:
\[
\frac{7}{30} + \frac{1}{30} = \frac{7 + 1}{30} = \frac{8}{30}
\]
Next, we simplify the fraction \(\frac{8}{30}\). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
\[
\frac{8 \div 2}{30 \div 2} = \frac{4}{15}
\]
Thus, the fraction of the total food collected by both classes together is:
\[
\boxed{\frac{4}{15}}
\]