CurriculumGrade 4Mathematics

Multiplying a Fraction by a Whole Number

Aligned to 4.NF.B.4 — Common Core State Standards for Mathematics.

What this lesson teaches

Multiplying a whole number by a fraction means adding that fraction that many times. Multiply the whole number by the numerator and keep the denominator the same. If the answer is bigger than one, you can write it as a mixed number.

Worked example

3 x 2/5. This means 2/5 + 2/5 + 2/5. Multiply the whole number by the numerator: 3 x 2 = 6, keep the denominator 5. Answer: 6/5. Since 5/5 makes one whole, 6/5 = 1 and 1/5.

Practice questions

  1. Find 4 x 1/3.
  2. Find 5 x 2/6.
  3. A recipe uses 3/4 cup of flour. How much flour for 3 batches? Write it as a mixed number.

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Every lesson comes with a video taught in English and Spanish — the same video the QR code in the printed workbook opens.

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En español

Multiplicar una fraccion por un numero entero

Multiplicar un numero entero por una fraccion significa sumar esa fraccion esa cantidad de veces. Multiplica el numero entero por el numerador y deja el denominador igual. Si el resultado es mayor que uno, puedes escribirlo como numero mixto.

Ejemplo: 3 x 2/5. Esto significa 2/5 + 2/5 + 2/5. Multiplica el entero por el numerador: 3 x 2 = 6 y deja el denominador 5. Respuesta: 6/5. Como 5/5 forma un entero, 6/5 = 1 y 1/5.

More Number & Operations—Fractions lessons

Equivalent Fractions4.NF.A.1Decimal Notation for Fractions4.NF.C.6Comparing Fractions4.NF.A.2Adding and Subtracting Like Fractions4.NF.B.3Tenths and Hundredths Together4.NF.C.5Comparing Decimals4.NF.C.7

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