I can explain what dividing with a whole number and a unit fraction means — how many groups fit, or how much is in one group — find the quotient with a model, and check it by multiplying.Puedo explicar qué significa dividir con un número entero y una fracción unitaria (cuántos grupos caben o cuánto hay en un grupo), hallar el cociente con un modelo y comprobarlo multiplicando.
MissionMisión · Sound StudioEstudio de sonido
Mix the track, then check the math.Mezcla la pista y revisa las matemáticas.
The Sound Studio is cutting cable, tape and foam into small fractional pieces. Each division tells you how many pieces fit or how much each share gets.
El Estudio de Sonido corta cable, cinta y espuma en piezas fraccionarias pequeñas. Cada división te dice cuántas piezas caben o cuánto recibe cada parte.
Word bankBanco de palabras 5 words5 palabrasquotient, divisor, unit fraction, …cociente, divisor, fracción unitaria, …
- quotientcociente
- The answer when you divide.La respuesta cuando divides.
- divisordivisor
- The number you divide by.El número entre el que divides.
- unit fractionfracción unitaria
- A fraction with 1 on top, like 1/4.Una fracción con 1 arriba, como 1/4.
- reciprocalrecíproco
- A fraction turned upside down. The reciprocal of 1/4 is 4.Una fracción volteada de arriba abajo. El recíproco de 1/4 es 4.
- tape diagramdiagrama de cinta
- A bar model cut into equal parts to show sharing or grouping.Un modelo de barra cortado en partes iguales para mostrar reparto o agrupación.
Stage 1 of 5Etapa 1 de 5
Get ReadyPrepárate
Wake up what you know, then explore today's model.
Activa lo que sabes y luego explora el modelo de hoy.
- Predict whether 4 ÷ 1/2 will be greater than 4 or less than 4. Test it in the model. Then change the piece to 1/4 and compare. Explain why dividing by a unit fraction changed the answer the way it did.
- What fraction of the bar is shaded?
- 3/5
- 3/8
- 5/8
- 8/3
- A whole is cut into equal fourths. How many fourths make 1 whole?
- What is 5 × 1/3?
- 15
- 1/15
- 5/3
- 3/5
- 1 fresh problem with new numbers each time (interactive only).
Stage 2 of 5Etapa 2 de 5
Try ItInténtalo
Use the hints when you need them. Every wrong answer tells you why.
Usa las pistas cuando las necesites. Cada respuesta incorrecta te dice por qué.
- What does 3 ÷ 1/4 mean?
- How many 1/4-size pieces fit into 3
- 1/4 of 3
- 3 groups of 1/4
- 3 minus 1/4
- Which expression means 'how many 1/3-size pieces are in 2'?
- 1/3 ÷ 2
- 2 ÷ 1/3
- 2 × 1/3
- 2 + 1/3
- A rope is 4 feet long. How many 1/2-foot pieces can be cut from it?
- 1/2 piece
- 2 pieces
- 4 pieces
- 8 pieces
Stage 3 of 5Etapa 3 de 5
On Your OwnPor tu cuenta
Tables, mistakes to find, and problems with a few steps.
Tablas, errores por encontrar y problemas de varios pasos.
- Match each division expression to its quotient.
- A shelf is 5 feet long. Books are each 1/4 foot wide. How many books fit on the shelf? Which expression represents this?
- 1/4 ÷ 5 = 1/20 book
- 5 ÷ 1/4 = 20 books
- 5 × 1/4 = 1 1/4 books
- 5 + 1/4 = 5 1/4 books
- Match each fraction ÷ whole number expression to its quotient.
- What is the best next move?
- Count halves per whole; use 11 wholes.
- Multiply 11 × 1/2.
- Divide 11 by 2 to make 2 equal groups.
- Subtract 1/2 from 11.
Stage 4 of 5Etapa 4 de 5 · OptionalOpcional
Practice MorePractica más
Optional extra practice. Press New numbers for another problem on the same skill.
Práctica extra opcional. Toca Números nuevos para otro problema de la misma habilidad.
- 5 fresh problems with new numbers each time (interactive only).
Stage 5 of 5Etapa 5 de 5
Show What You KnowDemuestra lo que sabes
Show what you learned today. Take your time; you can try again.
Muestra lo que aprendiste hoy. Tómate tu tiempo; puedes intentarlo otra vez.
- 6 ÷ 1/3 = ?
- 2
- 3
- 6
- 18
- Why is the answer bigger than 6?
- Because the pieces are smaller than a whole yard, so many of them fit
- Because dividing always makes numbers bigger
- Because 1/3 is negative
- Because 6 × 3 is multiplication, not division
- If each section were 1/2 yard instead, how many sections?
- 3
- 12
- 18
- 24