A focused Grade 4 learning session for Fraction Multiplication Word Problems using visual models, worked examples, strategy guidance, and a short mastery check.
Student goal: I can solve a fraction multiplication word problem and explain my answer.
Fraction Multiplication Word Problems means using equal parts, number lines, and clear fraction language to describe parts of a whole.
Question: The bar above shows \(1\) whole divided into fourths. If Sam uses \(3\) whole bars like this, how many fourths does he use?
Why it works: Each whole bar shows 4 fourths. If we use 3 whole bars, we have \(3\times4=12\) fourths total, which is \(\frac{12}{4}\) or 3 wholes.
Answer: \(\frac{12}{4}\) or \(3\) wholes
Question: The ribbon above is \(\frac{1}{6}\) yard long. If Zara lines up 4 of these ribbons end-to-end, how long is the line?
Answer: \(\frac{4}{6}\) yard or \(\frac{2}{3}\) yard
Question: On a number line, you mark dots at \(0\), \(\frac{1}{2}\), \(1\), \(1\frac{1}{2}\), and \(2\). What does the pattern show about \(4\times\frac{1}{2}\)?
Answer: \(4\times\frac{1}{2}=2\)
Question: A recipe calls for \(\frac{1}{4}\) cup of sugar. If Miguel triples the recipe, how much sugar does he need?
Why it works: Tripling means we multiply by \(3\). Since each part is \(\frac{1}{4}\) cup, we get \(3\times\frac{1}{4}=\frac{3}{4}\) cup.
Answer: \(\frac{3}{4}\) cup
Fraction Multiplication 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.
A recipe calls for \(\frac{1}{4}\) cup of sugar. If Miguel triples the recipe, how much sugar does he need?
Answer C: \(\frac{3}{4}\) cup
Tripling means we multiply by \(3\). Since each part is \(\frac{1}{4}\) cup, we get \(3\times\frac{1}{4}=\frac{3}{4}\) cup.
Ava has 5 necklaces. Each necklace has \(\frac{2}{3}\) meter of beads. How many meters of beads does Ava have in total?
Answer C: \(3\frac{1}{3}\) meters
We multiply the whole number by the fraction. Ava has 5 necklaces, each with \(\frac{2}{3}\) meter of beads: \(5\times\frac{2}{3}=\frac{10}{3}\) meters, which is \(3\frac{1}{3}\) meters.
A candy weighs \(\frac{1}{8}\) pound. If Diego has 6 pieces of this candy, what is the total weight?
Answer A: \(\frac{3}{4}\) pound
We multiply the number of candies by the weight of each: \(6\times\frac{1}{8}=\frac{6}{8}\) pound. Simplify \(\frac{6}{8}\) to get \(\frac{3}{4}\) pound.
Noah is training for a race. Each day he jogs \(\frac{1}{2}\) mile. If he trains for 4 days, how far does he jog in total?
Answer C: \(2\) miles
Noah jogs \(\frac{1}{2}\) mile each day for 4 days. We multiply: \(4\times\frac{1}{2}=\frac{4}{2}=2\) miles.
Mia receives \(\frac{3}{4}\) dollar as allowance each week. How much allowance does she receive after 2 weeks?
Answer C: \(1\frac{1}{2}\) dollars
In 2 weeks, Mia receives her allowance twice. So we have \(2\times\frac{3}{4}=\frac{6}{4}\) dollars, which simplifies to \(1\frac{1}{2}\) dollars.
The bar above shows \(1\) whole divided into fourths. If Sam uses \(3\) whole bars like this, how many fourths does he use?
Answer B: \(\frac{12}{4}\) (or \(3\) wholes)
Each whole bar shows 4 fourths. If we use 3 whole bars, we have \(3\times4=12\) fourths total, which is \(\frac{12}{4}\) or 3 wholes.
A recipe for brownies uses \(\frac{2}{3}\) cup of flour. If Lily wants to make the recipe 4 times, how much flour does she need?
Answer B: \(\frac{8}{3}\) cups
Making the recipe 4 times means we multiply by 4. We get \(4\times\frac{2}{3}=\frac{8}{3}\) cups of flour.
James eats \(\frac{1}{8}\) of a pie each day. How much of the pie does he eat in 5 days?
Answer B: \(\frac{5}{8}\) of the pie
James eats \(\frac{1}{8}\) of the pie each day for 5 days. We multiply: \(5\times\frac{1}{8}=\frac{5}{8}\) of the pie.
A sticker weighs \(\frac{1}{5}\) ounce. Emma has 3 stickers. What is the total weight in ounces?
Answer B: \(\frac{3}{5}\) ounce
Emma has 3 stickers, and each weighs \(\frac{1}{5}\) ounce. We multiply: \(3\times\frac{1}{5}=\frac{3}{5}\) ounce.
A water bottle holds \(\frac{3}{5}\) liter. How many liters do 2 water bottles hold together?
Answer B: \(\frac{6}{5}\) liters
Two water bottles, each holding \(\frac{3}{5}\) liter, give us \(2\times\frac{3}{5}=\frac{6}{5}\) liters total.
The ribbon above is \(\frac{1}{6}\) yard long. If Zara lines up 4 of these ribbons end-to-end, how long is the line?
Answer A: \(\frac{4}{6}\) yard (or \(\frac{2}{3}\) yard)
Zara lines up 4 ribbons, each \(\frac{1}{6}\) yard long. We multiply: \(4\times\frac{1}{6}=\frac{4}{6}\), which simplifies to \(\frac{2}{3}\) yard.
