Fractions: word problems with graphs and tables
key notes :
Understanding Fractions: Ensure students grasp the concept of fractions as parts of a whole or a set.
Word Problems Involving Fractions: Practice problems where fractions are used to represent parts of quantities or groups in real-life scenarios.
Graphical Representation: Introduce bar graphs and pie charts where fractions are depicted visually, helping students to relate fractions to graphical data.
Interpreting Tables: Teach students to read and interpret tables that involve fractions, such as data tables showing portions, ratios, or comparisons.
Problem Solving Strategies: Guide students in using fractions to solve problems involving comparisons, addition, subtraction, multiplication, and division of fractional quantities.
Real-World Applications: Emphasize applications of fractions in everyday contexts, such as cooking recipes, sports statistics, and financial calculations.
Learn with an example
A survey asked office workers what they like to do when taking a break from work.
| Preferred break activities | |
| Activity | Number of respondents |
| Making phone calls | 440 |
| Having a snack | 950 |
| Sending text messages | 390 |
What fraction of the respondents preferred sending text messages?
Simplify your answer.
Find how many respondents preferred sending text messages.
390
Find how many people responded in total.
440
950
+390
1,780
Divide 390 by 1,780.
390/ 1,780
Reduce the fraction.
390/1,780 → 39 /178
39/178 of the,respondents preferred sending text messages.
In a recent election at Newton University, three people ran for student body president.
| Election results | |
| Candidate | Votes |
| Perry | 150 |
| Quincy | 810 |
| Brianna | 350 |
What fraction of votes were for Quincy?
Simplify your answer.
Find how many votes were for Quincy.
810
Find how many votes there were in total.
150
810
+350
1,310
Divide 810 by 1,310.
810 / 1,310
Reduce the fraction.
810 / 1,310 → 81/ 131
81 / 131 of votes were for Quincy.
A law firm in Newport kept track of how many hours were billed by each partner last year.
| Law firm hours billed | |
| Partner | Hours billed |
| Ken | 520 |
| Tucker | 890 |
| Martha | 760 |
| Edmond | 720 |
What fraction of the hours were billed by Ken?
Simplify your answer.
Find how many hours were billed by Ken.
520
Find how many hours were billed in total.
520
890
760
+720
2,890
Divide 520 by 2,890.
520 / 2,890
Reduce the fraction.
520 / 2,890 → 52 / 289
52 / 289 of the hours were billed by Ken.
Let’s practice!
