# Word Problems on Decimal Fractions

A fraction represents a part of whole.

For example, it tells how many slices of a pizza left or eaten with respect to the whole pizza like, one-half, three-quarters.

Generally, a fraction has two parts i.e. the numerator and the denominator. A decimal fraction is a fraction where its denominator is a power of 10 i.e. 101,102, 103 etc.

For example 32/10,56/100,325/1000. It can be expressed as a decimal like 32/10=3.2,56/100=0.56.

We can perform all arithmetic operations on fractions by expressing them as a decimal. Let’s practice some word problems on decimal fractions by using various arithmetical operations.

Example 1: A barrel has 56.32 liters capacity. If Supriya  used 21.19 liters how much water is left in the barrel.

Solution: Given,

Capacity of the barrel = 56.32 liters

Amount of water used= 21.19 liters

Amount of water left in the barrel = 56.32 – 21.19 = 35.13 liters

Example 2: Megha bought 12 bags of wheat flour each weighing 4563/100  kg. What will be the total weight?

Solution:  Total no. of bags = 12

Weight of each bag =  4563/100 kg = 45.63 kg

Total weight =45.63 x 12=547.56 kg

Example 3: If circumference of a circle is 16.09 cm. What will be its diameter(π=3.14)?

Solution: Given, circumference = 16.09 cm

Circumference of a circle, C=2πr

$\Rightarrow 16.09 = 2 \pi r$

$\Rightarrow 16.09 = 2 \times 3.14 \times r$

$\Rightarrow r = \frac{16.09 \times 100}{6.28 \times 100}$

$\Rightarrow r = 2.56$ cm

Therefore Diameter = 2r = 2 x 2.56 = 5.12 cm.

Example 4: If the product of 38.46 and another number is 658.17, what is the other number?

Solution: Given,

One number = 38.46

Product of two numbers = 658.17

The other number = 658.17÷38.46

= $\frac{658.17}{100}\div \frac{38.46}{100}$

= 17.11

Example 5: Rakesh bought a new.  He went on a road trip of 165.9 km on bike. After a week he went for another trip of 102.04 km. What will be the reading on meter reader of the bike?

Solution: Given,

Distance travelled on first trip = 165.9 km

Distance travelled on second trip = 102.04km

Total distance travelled = 165.9 + 102.04 = 267.94 km

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#### Practise This Question

Common factors of the first two terms in the expression 5xy + 4ax + 6pa + 8px are: