Page 86 - Math Skill - 5

84 Maths

Let’s Attempt

Example: Convert the following decimals into fractions.
(a) 0.5 (b) 0.73 (c) 62.5

Solution: (a) 05. = 5 = 1
10 2 Fact-o-meter

(b) 073. = 73 Students should be awared that
‘0’ on the right end of a decimal
100 number have no value, if ‘0’ is the

(c) 62 5. = 625 = 125 = 62 1 only the place holder.
10 2 2
Conversion of Fractions into Decimals

To convert fractions with denominators 10, 100, 1000 and so on into decimals, simply put the
decimal point before tens, hundreds or thousands place.

Let’s learn through examples.

Let’s Attempt

Example: Convert the following fractions into decimals.

(a) 13 (b) 351 (c) 1349
10 100 1000

Solution: (a) 13 = 1 3 = 1+ 3 = 10 31 3+ . = . or 13 = 13 0. = 13.
10 10 10 10 10

(b) 351 = 3 51 = 3 + 51 = 30 51 351+ . = . or 351 = 351 0. = 351.
100 100 100 100 100

(c) 1349 = 1 349 = 1+ 349 = 1 349. or 1349 = 1349 0. = 1 349.
1000 1000 1000 1000 1000

Conversion of Fractions into decimals by division method

Step 1: Divide the numerator by the denominator.
Step 2: Complete the division. Let a remainder be left.

Step 3: Insert a decimal point in the dividend and the quotient.

Step 4: Put a zero on the right of the decimal point in the dividend as well as on the right of
the remainder. Divide again just as ordinary numbers.

Step 5: Repeat step 4 till the remainder is zero.
Let’s learn through examples.