question_answer

My elder sister divided the watermelon into 16 parts. I ate 7 out of them. My friend ate 4. How much did we eat between us. How much more of the water melon did I eat than my friend. What portion of the watermelon remained?

Answer:

Here, a watermelon is divided into 16 parts. \[\therefore \]      each part \[=\frac{1}{16}\] I ate 7 parts out of 16 parts i.e. \[\frac{7}{16}\] part. My friend ate 4 parts out of 16 parts i.e., \[\frac{4}{16}\] part. Now, the part which we eat together             \[=\frac{7}{16}+\frac{4}{16}=\frac{7+4}{16}\]             \[=\frac{11}{16}\] part Now, difference between our parts             \[=\frac{7}{16}-\frac{4}{16}=\frac{7-4}{16}=\frac{3}{16}\] So, I ate \[\frac{3}{16}\] part of watermelon more than my friend. Now, remaining part of the watermelon             \[=1-\frac{11}{16}\]             \[=\frac{16}{16}-\frac{11}{16}\] [ \[\because \] \[\frac{16}{16}\] and 1 are equivalent fractions]             \[=\frac{16-11}{16}=\frac{5}{16}\]