A focused Grade 4 learning session for Fraction Word Problems using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can solve a fraction word problem and explain my strategy.
Fraction Word Problems means using equal parts, number lines, and clear fraction language to describe parts of a whole.
Question: A candy bar is divided into 8 equal parts. The shaded part shows \(\frac{5}{8}\) of the bar that Maya ate. How much of the candy bar is left?
Why it works: The picture shows the candy bar is divided into 8 equal parts with 5 shaded (what Maya ate). Subtract the shaded part from the whole bar: \(\frac{8}{8}-\frac{5}{8}=\frac{3}{8}\) of the candy bar is left.
Answer: \(\frac{3}{8}\)
Question: A yard is divided into 4 equal parts. Green shows \(\frac{2}{4}\) and gray shows \(\frac{1}{4}\). What fraction is not colored?
Answer: \(\frac{1}{4}\)
Question: A rectangle divided into 4 equal parts has 3 parts shaded (showing \(\frac{3}{4}\)). If one shaded part is removed, what fraction remains shaded?
Answer: \(\frac{2}{4}\)
Question: Mia had a ribbon that was \(\frac{7}{10}\) meter long. She cut off \(\frac{3}{10}\) meter for a craft project. How much ribbon was left?
Why it works: The ribbon was cut, so we subtract the cut part from the total. \(\frac{7}{10}-\frac{3}{10}=\frac{4}{10}\) meter of ribbon left.
Answer: \(\frac{4}{10}\)
Fraction Word Problems becomes easier when students connect the question to a model, use clear steps, and explain why the answer fits.
Equal parts first, fraction name second.
Use scratch paper. The explanation matters more than simply seeing whether the choice is correct.
Carmen ate \(\frac{3}{8}\) of a pizza. Her brother ate \(\frac{2}{8}\) of the same pizza. What fraction of the pizza did they eat altogether?
Answer B: \(\frac{5}{8}\)
They both ate pieces from the same pizza! Add them with like denominators: \(\frac{3}{8}+\frac{2}{8}=\frac{5}{8}\) of the pizza altogether.
Mia had a ribbon that was \(\frac{7}{10}\) meter long. She cut off \(\frac{3}{10}\) meter for a craft project. How much ribbon was left?
Answer A: \(\frac{4}{10}\)
The ribbon was cut, so we subtract the cut part from the total. \(\frac{7}{10}-\frac{3}{10}=\frac{4}{10}\) meter of ribbon left.
Diego and his friend made a pie. Diego ate \(\frac{2}{6}\) of the pie and his friend ate \(\frac{1}{6}\) of the pie. What fraction of the pie did they eat together?
Answer A: \(\frac{3}{6}\)
Both friends shared from the same pie, so add the fractions: \(\frac{2}{6}+\frac{1}{6}=\frac{3}{6}\) of the pie they ate together.
A recipe calls for \(\frac{5}{4}\) cups of flour. Noah only has \(\frac{3}{4}\) cup. How much more flour does Noah need?
Answer B: \(\frac{2}{4}\)
The recipe needs more flour than Noah has. Find the difference: \(\frac{5}{4}-\frac{3}{4}=\frac{2}{4}\) cups more flour needed.
Ava read \(\frac{4}{5}\) of her book on Monday and \(\frac{1}{5}\) on Tuesday. What fraction of the book did she read in both days?
Answer A: \(\frac{5}{5}\)
Ava read parts on two different days. Add the fractions: \(\frac{4}{5}+\frac{1}{5}=\frac{5}{5}\), which means she read the whole book!
A flower bed had \(\frac{8}{12}\) of its space planted with roses. \(\frac{3}{12}\) of the space was planted with tulips. How much of the flower bed was planted with roses or tulips?
Answer B: \(\frac{11}{12}\)
The flower bed has two types of flowers. Add the parts with like denominators: \(\frac{8}{12}+\frac{3}{12}=\frac{11}{12}\) of the flower bed was planted.
Sam had \(2\frac{2}{4}\) meters of string. He used \(1\frac{1}{4}\) meters for a project. How much string does he have left?
Answer B: \(1\frac{1}{4}\)
Sam used some string, so subtract the amount used from what he started with: \(2\frac{2}{4}-1\frac{1}{4}=1\frac{1}{4}\) meters of string remains.
A baker had \(3\frac{3}{5}\) cups of sugar. She used \(2\frac{1}{5}\) cups for a cake. How much sugar is left?
Answer A: \(1\frac{2}{5}\)
The baker used some sugar for the cake. Subtract the amount used from the starting amount: \(3\frac{3}{5}-2\frac{1}{5}=1\frac{2}{5}\) cups of sugar left.
Two friends shared a chocolate bar. One friend ate \(\frac{5}{10}\) and the other ate \(\frac{3}{10}\). What fraction of the chocolate bar was left uneaten?
Answer A: \(\frac{2}{10}\)
The chocolate bar is shared, but some is left over. Step 1: Add what was eaten: \(\frac{5}{10}+\frac{3}{10}=\frac{8}{10}\). Step 2: Subtract from the whole: \(\frac{10}{10}-\frac{8}{10}=\frac{2}{10}\) left uneaten.
A candy bar is divided into 8 equal parts. The shaded part shows \(\frac{5}{8}\) of the bar that Maya ate. How much of the candy bar is left?
Answer A: \(\frac{3}{8}\)
The picture shows the candy bar is divided into 8 equal parts with 5 shaded (what Maya ate). Subtract the shaded part from the whole bar: \(\frac{8}{8}-\frac{5}{8}=\frac{3}{8}\) of the candy bar is left.
A recipe requires \(1\frac{1}{3}\) cups of milk. The baker already has \(\frac{2}{3}\) cup. How much more milk is needed?
Answer A: \(\frac{2}{3}\)
The baker needs more milk than what's on hand. Convert the mixed number: \(1\frac{1}{3}=\frac{4}{3}\). Then subtract: \(\frac{4}{3}-\frac{2}{3}=\frac{2}{3}\) cups of milk needed.
