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musickatia
2 months ago
5

Pepita and francisco each spend a equal amount of time on homework. The table shows the fraction of time they spend on each subj

ect. Complete the table by determining the missing fraction for each student
Fraction 1/2, math,2/3 english,1/6,3/8 science
Mathematics
1 answer:
Zina [12.3K]2 months ago
5 0

Answer:

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&\dfrac{1}{6}&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\dfrac{1}{8}\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

Step-by-step explanation:

Pepita and Francisco allocate equal amounts of time to their homework. The table indicates how they distribute their time across various subjects.

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

Pepita dedicated

\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{2\cdot 2+1\cdot 1}{6}=\dfrac{5}{6}

to English and Science.

Thus, she utilized

1-\dfrac{5}{6}=\dfrac{6}{6}-\dfrac{5}{6}=\dfrac{1}{6}

for Math.

On the other hand, Francisco spent

\dfrac{1}{2}+\dfrac{3}{8}=\dfrac{1\cdot 4+3\cdot 1}{8}=\dfrac{7}{8}

on Math and Science, resulting in him spending

1-\dfrac{7}{8}=\dfrac{8}{8}-\dfrac{7}{8}=\dfrac{1}{8}

on English.

The table displays:

\begin{array}{ccc}\text{Homework}&\text{Pepita}&\text{Francisco}\\ \\\text{Math}&\dfrac{1}{6}&\dfrac{1}{2}\\ \\\text{English}&\dfrac{2}{3}&\dfrac{1}{8}\\ \\\text{Science}&\dfrac{1}{6}&\dfrac{3}{8}\end{array}

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