Fraction Division Problem Solving Challenge

Grade 6 Math · Unit 6 Challenge Studio (6.NOS.1) · Lesson 6-11
Progress: 0 / 30

I can solve real-world problems by deciding whether the question asks how many groups fit or how much is in one group, writing a fraction division equation, and checking the solution by multiplying.Puedo resolver problemas de la vida real decidiendo si la pregunta pide cuántos grupos caben o cuánto hay en un grupo, escribiendo una ecuación de división de fracciones y comprobando la solución multiplicando.

MissionMisión · Robot LabLaboratorio de robots · night shiftturno de noche

Test, measure, improve.Prueba, mide, mejora.

After hours, the test robots run diagnostics that only pass if every equation is set up the right way round. Find the dividend, find the divisor, solve it, and make the robots prove the answer by multiplying back.

Después del horario, los robots de prueba hacen diagnósticos que solo se aprueban si cada ecuación está planteada en el orden correcto. Encuentra el dividendo, encuentra el divisor, resuelve y haz que los robots comprueben la respuesta multiplicando de vuelta.

Word bankBanco de palabras 5 words5 palabrasdividend, divisor, model, …dividendo, divisor, modelo, …
dividenddividendo
The total amount you are dividing, written first in a division.La cantidad total que divides, escrita primero en una división.
divisordivisor
The size of one group (or the number of groups) that you divide by.El tamaño de un grupo (o el número de grupos) entre el que divides.
modelmodelo
A picture or math way to show a problem so you can solve it.Un dibujo o forma matemática de mostrar un problema para resolverlo.
equationecuación
A math sentence with an equal sign showing both sides are the same.Una oración matemática con un signo igual que muestra que ambos lados son iguales.
reasonablenessrazonabilidad
Checking if your answer makes sense.Revisar si tu respuesta tiene sentido.

Stage 1 of 5Etapa 1 de 5

Start StrongEmpieza fuerte

Each rung is harder than the last, and the numbers change every time.

Cada peldaño es más difícil que el anterior y los números cambian cada vez.

  1. 6 fresh problems with new numbers each time (interactive only).

Stage 2 of 5Etapa 2 de 5

Stretch Your ThinkingAmplía tu pensamiento

Plan, solve, then check that your answer makes sense.

Planea, resuelve y revisa que tu respuesta tenga sentido.

  1. Find the Problem-Solving Error
  2. Write your own fraction division word problem where the answer is 8. Then show the equation, solve it step by step, and explain how you know your answer is reasonable.
  3. A robot's battery holds 9/10 of a full charge. One balance test uses 3/20 of a full charge. Which equation and answer tell how many tests the robot can finish?
    • 3/20 ÷ 9/10 = 1/6 of a test
    • 9/10 × 3/20 = 27/200 of a test
    • 9/10 ÷ 3/20 = 6 tests
    • 9/10 − 3/20 = 3/4 of a test
  4. A wiring spool holds 4 1/2 meters of wire. Each robot needs 5/6 meter. Technicians wire as many whole robots as they can. How many meters of wire are left on the spool?
  5. Story A: 4 liters of water are poured into containers that each hold 2/3 liter. How many containers? Story B: 2/3 liter of water is shared equally among 4 cups. How much is in each cup? Which pair of answers is correct?
    • A: 6 containers; B: 1/6 liter
    • A: 1/6 container; B: 6 liters
    • A: 2 2/3 containers; B: 2 2/3 liters
    • A: 6 containers; B: 6 liters
  6. Two lab reports list a division and its answer. For each row, find the quotient, then multiply the quotient by the divisor to check it.

Stage 3 of 5Etapa 3 de 5

InvestigateInvestiga

Use the model to test an idea. Then check it.

Usa el modelo para probar una idea. Luego compruébala.

  1. Each card names one amount from a lab story. Is it the dividend (the total being split) or the divisor (the size of one group)?
  2. Plan a supply for a field team. Write a word problem with a fraction total and a fraction group size. Write the equation, solve it, check by multiplying, and tell how many complete groups you can make.
  3. 4 fresh problems with new numbers each time (interactive only).

Stage 4 of 5Etapa 4 de 5

Find and FixEncuentra y corrige

Somebody made a mistake. Find the step and fix it.

Alguien cometió un error. Encuentra el paso y corrígelo.

  1. A robot has 7/12 liter of hydraulic fluid. Each test uses 1/6 liter. Zane wrote an equation to find how many tests it can run. Tap the step where his work goes wrong.
  2. How many COMPLETE 3/8-meter wires can be cut from a 2-meter cable? Rosa solved it. Tap the step where her answer goes wrong.
  3. Four robots share 3/4 liter of oil equally. Ines wrote an equation to find how much oil each robot gets. Tap the step where her work goes wrong.
  4. Leila and Omar want to know how many 1/4-liter bottles can be filled from 3 liters. Leila writes 3 ÷ 1/4 = 12. Omar writes 1/4 ÷ 3 = 1/12 because "the bottle is the thing being divided." Who is right?
    • Omar: the bottle is the thing being divided.
    • Both are right: 12 and 1/12 are the same answer.
    • Neither: you should multiply 3 × 1/4.
    • Leila: 3 L is the total being divided.
  5. What is the best next move?
    • Report 7 whole posters.
    • Report 8 posters, rounding 7 1/2 up.
    • Report 7 1/2 posters.
    • Subtract 1/2 from 3 3/4 and report that.
  6. 1 fresh problem with new numbers each time (interactive only).

Stage 5 of 5Etapa 5 de 5

Prove Your UnderstandingDemuestra tu comprensión

Say how sure you are, solve, then create a problem of your own.

Di qué tan seguro estás, resuelve y luego crea un problema tuyo.

  1. Which story can be solved with 3/4 ÷ 3?
    • How many 3/4-liter bottles can be filled from 3 liters?
    • What is 3/4 of 3 liters of oil?
    • Three robots each use 3/4 liter of oil. How much do they use in all?
  2. A robot arm needs 5/6-meter cable pieces. How many pieces can be cut from a 10-meter cable?
  3. A student solves 3 1/2 ÷ 7/8. Which answer is reasonable?
    • 3 1/16
    • 2 5/8
    • 1/4
    • 4
  4. A student found 3/8 ÷ 3/16 = 2. Which multiplication checks the answer?
    • 2 × 3/8 = 3/4
    • 2 × 3/16 = 3/8
    • 3/8 × 3/16 = 9/128
    • 2 × 16/3 = 10 2/3
  5. A robot cuts 3/8-meter ribbons from 5 1/4 meters of ribbon. How many ribbons can it cut?
  6. Write your own Robot Lab story problem where the answer tells how much is in ONE group (a total shared equally). Write the equation, solve it, check it by multiplying, and explain why your answer is reasonable.