FRACTION OF QUANTITIES

When writing fractions that involve measurements it is important that we use the same units in the numerator and the denominator.

Example :

What fraction of 1 metre is 37 cm?

Solution :

37 cm as a fraction of 1 metre = 37 cm/ 1 m

Converting 1 meter to cm, we get 1 m = 100 cm

= 37/100

In simplest form, state what fraction of:

Problem 1 :

1 metre is 20 cm

Solution :

20 cm as a fraction of 1 metre = 20 cm/ 1 m

= 20 cm/100 cm

= 1/5

Problem 2 :

 2 metres is 78 cm

Solution :

78 cm as a fraction of 2 metres = 78 cm/ 2 m

= 78 cm/200 cm

= 39/100

Problem 3 :

1 kg is 500 g

Solution :

500 g as a fraction of 1 kg = 500 g/ 1 kg

= 500 g/1000 g

= 1/2

Problem 4 :

1 week is 2 days

Solution :

2 days as a fraction of 1 week = 2 days/ 1 week

= 2 days/7 days

= 2/7

Problem 5 :

1 day is 5 hours

Solution :

5 hours as a fraction of 1 day = 5 hours/ 1 day

= 5 hours/24 hours

= 5/24

Problem 6 :

November is two days

Solution :

2 days as a fraction of November = 2 days/30 days

= 1 day/15 days

= 1/15

Problem 7 :

 a decade is one year

Solution :

1 year as a fraction of a decade = 1year/decade

= 1 year/10 years

= 1/10

Problem 8 :

2 dollars is 27 cents

Solution :

27 cents as a fraction of a 2 dollars = 27 cents/2 dollars

= 27 cents/200 cents

= 27/200

Recent Articles

  1. Finding Range of Values Inequality Problems

    May 21, 24 08:51 PM

    Finding Range of Values Inequality Problems

    Read More

  2. Solving Two Step Inequality Word Problems

    May 21, 24 08:51 AM

    Solving Two Step Inequality Word Problems

    Read More

  3. Exponential Function Context and Data Modeling

    May 20, 24 10:45 PM

    Exponential Function Context and Data Modeling

    Read More