## Relationship Involving Units of Time

 4.2 Relationship Involving Units of Time

 1 minute = 60 seconds 1 year = 12 months 1 century = 10 decades 1 hour = 60 minutes 1 year = 365 days 1 day = 24 hours 1 leap year= 366 days 1 century = 100 years 1 week = 7 days 1 decade = 10 years

CONVERT UNITS OF TIME: FRACTIONS
 Hours & Minutes $$\frac{1}{2}\, \text{Hours} = \Box \,\text{Minutes}$$      $$\frac{1}{2}\, \text{Hours}$$ $$= (\frac{1}{2}\times 60)\,\text{Minutes}$$ $$= 30\,\text{Minutes}$$ $${\frac{1}{2}\, \text{Hours} =30\text{ Minutes}}$$ Days & Hours $$5\frac{1}{8}\text{ Days} = \Box \text{ Hours}$$     $$5\frac{1}{8}\text{ Days}$$ $$= (\frac{41}{8}\times24) \text{ Hours}$$ $$= 123 \text{ Hours}$$ $$5\frac{1}{8}\text{ Days} = 123 \text{ Hours}$$ Years & Months $$3\frac{3}{4}\text{ Years}=\Box\text{ Months}$$      $$3\frac{3}{4}\text{ Years}$$ $$=(\frac{15}{4}\times12)\text{ Months}$$ $$=45\text{ Months}$$ $$3\frac{3}{4}\text{ Years}=45\text{ Months}$$ Decades & Years $$5\frac{1}{5}\text{ Decades} = \Box\text{ Years}$$     $$5\frac{1}{5}\text{ Decades}$$ $$= (\frac{26}{5}\times10)\text{ Years}$$ $$= 52\text{ Years}$$ $$5\frac{1}{5}\text{ Decades} = 52\text{ Years}$$ Centuries & Decades $$1\frac{1}{2}\text{ Centuries}=\Box\text{ Decades}$$     $$1\frac{1}{2}\text{ Centuries}$$ $$=(\frac{3}{2}\times10)\text{ Decades}$$ $$=15\text{ Decades}$$ $$1\frac{1}{2}\text{ Centuries}=15\text{ Decades}$$ Centuries & Years $$1\frac{1}{2}\text{ Centuries}=\Box\text{ Years}$$      $$1\frac{1}{2}\text{ Centuries}$$ $$=(\frac{3}{2}\times100)\text{ Years}$$ $$=150\text{ Years}$$ $$1\frac{1}{2}\text{ Centuries}=150\text{ Years}$$

CONVERT UNITS OF TIME: DECIMALS
 Hours & Minutes $$2.5\,\text{ Hours} = \Box \text{ Minutes}$$      $$2.5\,\text{ Hours}$$ $$= (2.5 \times 60) \text{ Minutes}$$ $$= 150 \text{ Minutes}$$ $$2.5\,\text{ Hours} = 150 \text{ Minutes}$$ Days & Hours $$3.5\text{ Days}=\Box\text{ Hours}$$      $$3.5\text{ Days}$$ $$=(3.5\times24)\text{ Hours}$$ $$=84\text{ Hours}$$ $$3.5\text{ Days}=84\text{ Hours}$$ Years & Months $$3.75\text{ Years}=\Box\text{ Months}$$      $$3.75\text{ Years}$$ $$=(3.75\times12)\text{ Months}$$ $$=45\text{ Months}$$ $$3.75\text{ Years}=45\text{ Months}$$ Decades & Years $$7.2\text{ Decades} = \Box\text{ Years}$$      $$7.2\text{ Decades}$$ $$= (7.2\times10)\text{ Years}$$ $$=72\text{ Years}$$ $$7.2\text{ Decades} =72\text{ Years}$$ Centuries & Decades $$5.4\text{ Centuries} = \Box\text{ Decades}$$      $$5.4\text{ Centuries}$$ $$= (5.4\times10)\text{ Decades}$$ $$= 54\text{ Decades}$$ $$5.4\text{ Centuries} = 54\text{ Decades}$$ Centuries & Years $$5.4\text{ Centuries} = \Box\text{ Years}$$      $$5.4\text{ Centuries}$$ $$= (5.4\times100)\text{ Years}$$ $$= 540\text{ Years}$$ $$5.4\text{ Centuries} = 540\text{ Years}$$

## Relationship Involving Units of Time

 4.2 Relationship Involving Units of Time

 1 minute = 60 seconds 1 year = 12 months 1 century = 10 decades 1 hour = 60 minutes 1 year = 365 days 1 day = 24 hours 1 leap year= 366 days 1 century = 100 years 1 week = 7 days 1 decade = 10 years

CONVERT UNITS OF TIME: FRACTIONS
 Hours & Minutes $$\frac{1}{2}\, \text{Hours} = \Box \,\text{Minutes}$$      $$\frac{1}{2}\, \text{Hours}$$ $$= (\frac{1}{2}\times 60)\,\text{Minutes}$$ $$= 30\,\text{Minutes}$$ $${\frac{1}{2}\, \text{Hours} =30\text{ Minutes}}$$ Days & Hours $$5\frac{1}{8}\text{ Days} = \Box \text{ Hours}$$     $$5\frac{1}{8}\text{ Days}$$ $$= (\frac{41}{8}\times24) \text{ Hours}$$ $$= 123 \text{ Hours}$$ $$5\frac{1}{8}\text{ Days} = 123 \text{ Hours}$$ Years & Months $$3\frac{3}{4}\text{ Years}=\Box\text{ Months}$$      $$3\frac{3}{4}\text{ Years}$$ $$=(\frac{15}{4}\times12)\text{ Months}$$ $$=45\text{ Months}$$ $$3\frac{3}{4}\text{ Years}=45\text{ Months}$$ Decades & Years $$5\frac{1}{5}\text{ Decades} = \Box\text{ Years}$$     $$5\frac{1}{5}\text{ Decades}$$ $$= (\frac{26}{5}\times10)\text{ Years}$$ $$= 52\text{ Years}$$ $$5\frac{1}{5}\text{ Decades} = 52\text{ Years}$$ Centuries & Decades $$1\frac{1}{2}\text{ Centuries}=\Box\text{ Decades}$$     $$1\frac{1}{2}\text{ Centuries}$$ $$=(\frac{3}{2}\times10)\text{ Decades}$$ $$=15\text{ Decades}$$ $$1\frac{1}{2}\text{ Centuries}=15\text{ Decades}$$ Centuries & Years $$1\frac{1}{2}\text{ Centuries}=\Box\text{ Years}$$      $$1\frac{1}{2}\text{ Centuries}$$ $$=(\frac{3}{2}\times100)\text{ Years}$$ $$=150\text{ Years}$$ $$1\frac{1}{2}\text{ Centuries}=150\text{ Years}$$

CONVERT UNITS OF TIME: DECIMALS
 Hours & Minutes $$2.5\,\text{ Hours} = \Box \text{ Minutes}$$      $$2.5\,\text{ Hours}$$ $$= (2.5 \times 60) \text{ Minutes}$$ $$= 150 \text{ Minutes}$$ $$2.5\,\text{ Hours} = 150 \text{ Minutes}$$ Days & Hours $$3.5\text{ Days}=\Box\text{ Hours}$$      $$3.5\text{ Days}$$ $$=(3.5\times24)\text{ Hours}$$ $$=84\text{ Hours}$$ $$3.5\text{ Days}=84\text{ Hours}$$ Years & Months $$3.75\text{ Years}=\Box\text{ Months}$$      $$3.75\text{ Years}$$ $$=(3.75\times12)\text{ Months}$$ $$=45\text{ Months}$$ $$3.75\text{ Years}=45\text{ Months}$$ Decades & Years $$7.2\text{ Decades} = \Box\text{ Years}$$      $$7.2\text{ Decades}$$ $$= (7.2\times10)\text{ Years}$$ $$=72\text{ Years}$$ $$7.2\text{ Decades} =72\text{ Years}$$ Centuries & Decades $$5.4\text{ Centuries} = \Box\text{ Decades}$$      $$5.4\text{ Centuries}$$ $$= (5.4\times10)\text{ Decades}$$ $$= 54\text{ Decades}$$ $$5.4\text{ Centuries} = 54\text{ Decades}$$ Centuries & Years $$5.4\text{ Centuries} = \Box\text{ Years}$$      $$5.4\text{ Centuries}$$ $$= (5.4\times100)\text{ Years}$$ $$= 540\text{ Years}$$ $$5.4\text{ Centuries} = 540\text{ Years}$$