Question

Write the following decimals as fractions. Reduce the fractions to lowest form.
(a) 0.6
(b) 2.5
(c) 1.0
(d) 3.8
(e) 13.7
(f) 21.2
(g) 6.4

Answer 1

( a ) 0.6 = 6/10 = 3/5.

( b ) 2.5 = 25/10 = 5/2.

( c ) 1.0 = 10/10 = 1/1.

( d ) 3.8 = 38/10 = 19/5.

( e ) 13.7 = 137/10 = 137/10.

( f ) 21.2 = 212/10 = 106/5.

( g ) 6.4 = 64/10 = 32/5.

HOPE THIS HELPS YOU.

REGARDS
MONICA.

Answer 2

(a) $0.6=\dfrac{6}{10}=\dfrac{3}{5}$

(b) $2.5=\dfrac{25}{10}=\dfrac{5}{2}$

(c) $1.0=\dfrac{10}{10}=1$

(d) $3.8=\dfrac{38}{10}=\dfrac{19}{5}$

(e) $13.7=\dfrac{137}{10}$

(f) $21.2=\dfrac{212}{10}=\dfrac{106}{5}$

(g) $6.4=\dfrac{64}{10}=\dfrac{32}{5}$

Step-by-step explanation:

• In order to reduce any decimal number into a fraction, we have to see how many digits are there after the decimal point.

• If there is one digit after the decimal point, we divide all the digits by 10 [one 0 sits after 1].

• If there are two digits after the decimal point, we divide all the digits by 100 [two 0 sits after 1].

• In this way, we continue for decimal numbers containing more digits after the decimal point.

Let us understand for the given decimal numbers now :

• All the given numbers have only one digit after the decimal point. So, the division by 10 is correct.

• In order to simplify the fractions, which are possible, we have divided them by 2 [(a), (d), (e), (f) and (g)] or, by 5 [(b)] or, by 10 [(c)].