Answer:
1) Twenty-one halves of one-thirds are in seven halves.
2) Fourteen-thirds of three-fourths are in five halves.
Step-by-step explanation:
1) To find : How many one-thirds are in seven halves?
Solution :
Let the required number be 'x',
According to question,
![\frac{1}{3}\times x=\frac{7}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Ctimes%20x%3D%5Cfrac%7B7%7D%7B2%7D)
Solving the equation,
![x=\frac{7\times 3}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7%5Ctimes%203%7D%7B2%7D)
![x=\frac{21}{2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B21%7D%7B2%7D)
Therefore, Twenty-one halves of one-thirds are in seven halves.
2) To find : How many three-fourths are in five halves?
Solution :
Let the required number be 'x',
According to question,
![\frac{3}{4}\times x=\frac{5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5Ctimes%20x%3D%5Cfrac%7B5%7D%7B2%7D)
Solving the equation,
![x=\frac{7\times 4}{2\times 3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7%5Ctimes%204%7D%7B2%5Ctimes%203%7D)
![x=\frac{14}{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B14%7D%7B3%7D)
Therefore, Fourteen-thirds of three-fourths are in five halves.