EXPRESSING ONE QUANTITY AS A FRACTION OF ANOTHER

To express the given quantities as fraction, we have to know about the terms numerator and denominator.

In the fraction x/y

x is numerator and y is denominator

Incase both quantities are not in the same units, we have to convert both into same kind.

In simplest form, state what fraction of:

Problem 1 :

1 metre is 20 cm

Solution:

Converting both into the same unit.

fractionq1

1 metre = 100 cm

=20100=15

1/5 of 1 meter is 20 cm.

In simplest form, state what fraction of:

Problem 2 :

2 meters is 78 cm

Solution:

Converting both into the same unit.

2 metres = 200 cm

=78200=39100

Problem 3 :

1 kg is 500 g

Solution:

Converting both into the same unit.

1 kg = 1000 g

=5001000=12

Problem 4 :

1 week is 2 days

Solution:

Converting both into the same unit.

1 week = 7 days

=27

Problem 5 :

1 day is 5 hours

Solution:

Converting both into the same unit.

1 day = 24 hours

=524

Problem 6 :

November is two days

Solution:

Converting both into the same unit.

November = 30 days

=230=115

Problem 7 :

a decade is one year

Solution:

Converting both into the same unit.

Decade = 10 years

=110

Problem 8 :

2 dollars is 27 cents

Solution:

Converting both into the same unit.

2 dollars = 200 cents

=27200

Problem 9 :

What fraction of one hour is 30 minutes

Solution:

Converting both into the same unit.

1 hour = 60 minutes

=3060=12

Problem 10 :

What fraction of one hour is 10 minutes

Solution:

Converting both into the same unit.

1 hour = 60 minutes

=1060=16

Problem 11 :

What fraction of one hour is 45 minutes

Solution:

Converting both into the same unit.

1 hour = 60 minutes

=4560=34

Problem 12 :

What fraction of one hour is 12 minutes

Solution:

Converting both into the same unit.

1 hour = 60 minutes

=1260=15

Problem 13 :

What fraction of one day is 1 hour

Solution:

Converting both into the same unit.

1 day = 24 hours

=124

Problem 14 :

What fraction of one day is 4 hours

Solution:

Converting both into the same unit.

1 day = 24 hours

=424=16

Problem 15 :

What fraction of one day is 30 minutes

Solution:

Converting both into the same unit.

1 day = 1440 minutes

=301440=148

Problem 16 :

What fraction of one day is 1 minute

Solution:

Converting both into the same unit.

1 day = 1440 minutes

=11440

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