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Worksheet: Fractions and Properties of Addition: Word Problems

Q1:

The diagram shows the number π‘Ž + 𝑏 . By dividing it into four parts, as shown by the dashed lines, one gets ( π‘Ž + 𝑏 ) Γ· 4 .

Using the diagram, find another expression for ( π‘Ž + 𝑏 ) Γ· 4 .

  • A π‘Ž Γ· 4 + 𝑏
  • B π‘Ž + 𝑏 Γ· 4
  • C π‘Ž 𝑏 Γ· 4
  • D π‘Ž Γ· 4 + 𝑏 Γ· 4
  • E 4 Γ· π‘Ž + 4 Γ· 𝑏

Given that ( π‘Ž + 𝑏 ) Γ— 𝑓 is a multiplication equivalent to this division, what is the multiplication factor 𝑓 ?

  • A 1 4
  • B 𝑏
  • C π‘Ž
  • D4
  • E π‘Ž 𝑏 4

What property of multiplication was used to rewrite ( π‘Ž + 𝑏 ) Γ— 1 4 as 1 4 Γ— ( π‘Ž + 𝑏 ) ?

  • AThe multiplicative inverse property
  • BThe associative property
  • CThe commutative property
  • DThe distributive property
  • EThe multiplicative identity property

What property of multiplication has then been used to rewrite 1 4 ( π‘Ž + 𝑏 ) as π‘Ž 4 + 𝑏 4 ?

  • AThe distributive property
  • BThe multiplicative inverse property
  • CThe multiplicative identity property
  • DThe associative property
  • EThe commutative property

Is 4 Γ· ( π‘Ž + 𝑏 ) equal to 4 Γ· π‘Ž + 4 Γ· 𝑏 ?

  • A No
  • B Yes