Question

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?___

Answer 1

Let me edit your question to simplify it.

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

Explanation:

A)

• 
  `5`÷
  `(1)/(3) =5*(3)/(1)`

• 
  `5`÷
  `(1)/(3)=15`

Third:

• third means
  `(1)/(3)`

B)

• To make 1 whole from thirds, we need three thirds i.e.
  `(1)/(3)+(1)/(3)+(1)/(3)=(3)/(3)=1\ Whole`

C)

• In 1 whole there are three thirds, so in 5 wholes there are
  `5*3=15` wholes.

D)

• In
  `5\ of\ (1)/(3)=5*(1)/(3) =(5)/(3)`

• 
  `(5)/(3)=1.6`

• The whole of
  `1.6` or
  `(5)/(3)` is 2 (rounding 1.6 to 2)

E)

• 
  `3`÷
  `(1)/(5)=3*5=15`

Fifth: means
`(1)/(5)`

F)

• To make 1 whole of fifths we need five fifths i.e.
  `(1)/(5) +(1)/(5) +(1)/(5) +(1)/(5) +(1)/(5)=(1+1+1+1+1)/(5)=(5)/(5)=1`

G)

• In 1 whole we have 5 fifths, so in 3 wholes we have
  `3*5=15` fifths

H)

• 
  `3\ of\ (1)/(5)=3*(1)/(5)=(3)/(5)=0.6`

• rounding 0.6 equals to 1

• thus whole is 1.