Eureka Math : 5 ÷ 1/3= ____. There are ___ thirds in 1 whole. There are ___ thirds in 5 wholes. If 5 is 1/3, what is the whole? ___ 3 ÷1/5= ____ . There are ___ fifths in 1 whole. There are ___ fifths in 3 wholes. If 3 is 1/5, what is the whole?___

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Eureka Math :

A)5 ÷ 1/3= ____.

B) There are ___ thirds in 1 whole.

C) There are ___ thirds in 5 wholes.

D) If 5 of 1/3, what is the whole? ___

E) 3 ÷1/5= ____ .

F) There are ___ fifths in 1 whole.

G) There are ___ fifths in 3 wholes.

H) If 3 of 1/5, what is the whole?___

Answer:

A) 15

B) three thirds

C) 15 wholes

D) whole is 2

E) 15

F) five fifths

G) 15 fifths

H) whole is 1

Step-by-step explanation:

A)

  • [tex]5[/tex]÷[tex]\frac{1}{3} =5*\frac{3}{1}[/tex]
  • [tex]5[/tex]÷[tex]\frac{1}{3}=15[/tex]

Third:

  • third means [tex]\frac{1}{3}[/tex]

B)

  • To make 1 whole from thirds, we need three thirds i.e. [tex]\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{3}{3}=1\ Whole[/tex]

C)

  • In 1 whole there are three thirds, so in 5 wholes there are [tex]5*3=15[/tex] wholes.

D)

  • In [tex]5\ of\ \frac{1}{3}=5*\frac{1}{3} =\frac{5}{3}[/tex]
  • [tex]\frac{5}{3}=1.6[/tex]
  • The whole of [tex]1.6[/tex] or [tex]\frac{5}{3}[/tex] is 2 (rounding 1.6 to 2)

E)

  • [tex]3[/tex]÷[tex]\frac{1}{5}=3*5=15[/tex]

Fifth: means [tex]\frac{1}{5}[/tex]

F)

  • To make 1 whole of fifths we need five fifths i.e. [tex]\frac{1}{5} +\frac{1}{5} +\frac{1}{5} +\frac{1}{5} +\frac{1}{5}=\frac{1+1+1+1+1}{5}=\frac{5}{5}=1[/tex]

G)

  • In 1 whole we have 5 fifths, so in 3 wholes we have [tex]3*5=15[/tex] fifths

H)

  • [tex]3\ of\ \frac{1}{5}=3*\frac{1}{5}=\frac{3}{5}=0.6[/tex]
  • rounding 0.6 equals to 1
  • thus whole is 1.