Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 3 Fractions and Mixed Numbers to finish your assignments.
Math in Focus Grade 5 Chapter 3 Answer Key Fractions and Mixed Numbers
Math Journal
Draw a model and explain the steps you can use to add \(\frac{2}{3}\) to \(\frac{1}{8}\).
Explanation:
Put On Your Thinking Cap
Challenging Practice
Solve. Show your work.
Tina, Troy and Nate had a total of 25 equal-sized square tiles to place over a square grid. Tina used \(\frac{8}{25}\) of the square tiles. Troy used \(\frac{1}{5}\) of the square tiles. Shade the square grid below to show how Tina and Troy could have placed the square tiles. What fraction of the square grid must Nate place the tiles on so that \(\frac{1}{5}\) of the square grid is not covered?
Explanation:
Tina used \(\frac{8}{25}\)
so shaded eighths of 25
25 – 8 = 17
Troy used \(\frac{1}{5}\) of the square tiles.
\(\frac{17}{25}\) – \(\frac{1}{5}\)
Troy = \(\frac{12}{25}\)
\(\frac{20}{25}\) – \(\frac{13}{25}\)
= \(\frac{7}{25}\)
Nate = \(\frac{7}{25}\)
Put On Your Thinking Cap
Problem Solving
Solve. Use a model to help you.
Paul mixes cement with sand. He uses 3\(\frac{3}{4}\) kilograms of cement and \(\frac{1}{2}\) kilogram more sand than cement. He needs 10 kilograms of the mixture. Does he have enough mixture? If yes, how much more does he have and if no, how much more does he need?
Explanation:
He uses 3\(\frac{3}{4}\) kilograms of cement and \(\frac{1}{2}\) kilogram more sand than cement.
3\(\frac{3}{4}\) + 4\(\frac{1}{4}\)
He needs 10 kilograms of the mixture.
10 – 8 = 2
He does not have enough mixture
he needs more 2 kilograms
Math Journal
Darren drew a model to find \(\frac{4}{5}\) – \(\frac{1}{2}\) . His model is drawn incorrectly. Explain his mistakes. Then draw the correct model and find the difference.
Darren’s model is wrong because:
The correct model is:
Explanation:
Model diagram:
Darren’s model is wrong because:
he has covered 4th out of 10
when we simplify
we get \(\frac{3}{10}\)