I can explain what dividing with mixed numbers means, rewrite them as improper fractions, find the quotient with common denominators or by multiplying by the reciprocal, and check it by multiplying.Puedo explicar qué significa dividir con números mixtos, reescribirlos como fracciones impropias, hallar el cociente con denominadores comunes o multiplicando por el recíproco, y comprobarlo multiplicando.
MissionMisión · Orbit StationEstación orbital · night shiftturno de noche
Mission control needs your math.El control de la misión necesita tus matemáticas.
Mission Control reports a solar flare, so the night crew has to re-plan every supply run with trickier numbers. Convert carefully, estimate first, and verify each answer by multiplying back.
El Control de Misión informa de una llamarada solar, así que la tripulación nocturna debe replanificar cada envío de suministros con números más difíciles. Convierte con cuidado, estima primero y verifica cada respuesta multiplicando de vuelta.
Word bankBanco de palabras 5 words5 palabrasmixed number, improper fraction, convert, …número mixto, fracción impropia, convertir, …
- mixed numbernúmero mixto
- A whole number plus a fraction, like 2 1/3.Un número entero más una fracción, como 2 1/3.
- improper fractionfracción impropia
- A fraction where the top is bigger than or equal to the bottom, like 7/4.Una fracción donde el número de arriba es mayor o igual al de abajo, como 7/4.
- convertconvertir
- To change a number to a new form without changing its value.Cambiar un número a otra forma sin cambiar su valor.
- reciprocalrecíproco
- A fraction turned upside down. Dividing by a fraction is the same as multiplying by its reciprocal.Una fracción volteada. Dividir entre una fracción es lo mismo que multiplicar por su recíproco.
- simplifysimplificar
- To write a fraction with smaller numbers that names the same amount, like 2/4 = 1/2.Escribir una fracción con números más pequeños que nombra la misma cantidad, como 2/4 = 1/2.
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.
- 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.
- Find the Mixed Number Error
- A detective has a rope that is 5 1/4 feet long. She needs to cut it into pieces that are each 3/4 foot for tying evidence tags. How many pieces can she cut? Write the equation, show each step (convert, the reciprocal shortcut, multiply, simplify), and verify your answer.
- Find Liam's Mistake
- A solar panel strip is 7 1/2 meters long. The crew cuts it into pieces that are each 5/6 meter long. How many pieces do they get?
- The crew uses 6 3/4 liters of water in 2 1/4 days at a steady rate. How many liters do they use each day?
- 1/3 liter
- 3 liters
- 6 liters
- 15 3/16 liters
- Supply pod A brings 3 1/2 kg of food and pod B brings 2 3/4 kg. Each crew meal pack uses 3/4 kg. How many FULL meal packs can the crew make from both pods?
- A station planner lists how long each repair job has and how long one task takes. For each row, convert the time available to an improper fraction, then find how many tasks fit.
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.
- Sort each conversion: did the cadet change the mixed number into the correct improper fraction?
- Write your own ribbon order. Pick a mixed-number length and a fractional piece size. Show both as improper fractions, divide to find how many pieces you can cut, and check with a multiplication.
- 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.
- Pia divided 5 1/2 ÷ 1 1/2 by splitting each mixed number into parts. Tap the step where her work goes wrong.
- Leo divided 3 2/3 ÷ 1/6 to find how many 1/6-hour tasks fit in 3 2/3 hours. Tap the step where his work goes wrong.
- Nova divided 3 1/3 ÷ 5/6. She converted correctly. Tap the step where her work goes wrong.
- Ravi says 7 1/2 ÷ 2 1/2 is about 3. Sana says the answer must be bigger than 7 1/2, because dividing by a fraction makes the number bigger. Who is right?
- Ravi: divisor > 1, so quotient is smaller.
- Sana: dividing by any fraction makes the number bigger.
- Both are right.
- Neither: the answer is 7 1/2 − 2 1/2 = 5.
- What is the best next move?
- Write 12 as 12/1 and flip it, since 12 comes first.
- Multiply 12 × 1 1/3.
- Subtract 1 1/3 from 12.
- Convert 1 1/3 to 4/3; multiply by 3/4.
- 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.
- Which shows 4 3/8 as an improper fraction?
- 43/8
- 12/8
- 35/8
- 7/8
- What is 9 1/3 ÷ 1 1/6?
- Which is the best estimate for 8 1/4 ÷ 1 3/4?
- about 14
- about 6 1/2
- less than 1
- about 4.7
- Which multiplication checks that 6 ÷ 1 1/2 = 4?
- 4 × 1 1/2 = 6
- 6 × 1 1/2 = 9
- 4 × 2/3 = 2 2/3
- 4 ÷ 1 1/2 = 2 2/3
- The crew has 15 3/4 kg of supplies. They set aside 3 1/4 kg for emergencies and pack the rest into boxes that each hold 1 1/4 kg. How many full boxes can they pack?
- Write your own Orbit Station story problem that divides one mixed number by another. Solve it, check it by multiplying, and explain why you convert the mixed numbers first.