Question

1) convert the following decimals into fractions (steps needed)

a) 10.23
b) 13.7
c) 21.2
d) 6.4
e) 2.5
f) 3.8

2) write the following as decimals (steps needed)

a) 30+6+2/10
b) 600+2+8/10
c) 70+8/100
d) 4 1/2 (mixed fraction)
e) 2/5
f) 9/12

Answer 1

Q.1
a) 10.23=1023/100
b) 13.7= 137/10
c) 21.2=212/10=106/5
d)6.4= 64/10 = 32/5
e)2.5= 25/10=5/2
f)3.8= 38/10= 19/5
Q.2
a) 38/10 = 3.8
b) 610/10= 61.0= 61
c)78/100=0.78
d)4 whole 1/2 =9/2=4.5
e) 2/5=0.4
f)9/12=3/4 = 0.615

Answer 2

HeYo mate !

$<big><b>All the answers are as follows in the attachment picture ! Check them out :) </b>$

${\mathsf{\boxed{Explanations}}}$ :-

1 . a) Here , the number has been divided by 100 in order to remove the decimal point . Now , why divided with 100 ? Its because , there are 2 digits are the decimal point in the number 10.23 !
So , the no.of digits after decimal points = no.of zeros after 1 .

b) Same rule to be followed as in question (a) . Here , there is division of number by 10 as there is only 1 digit after point .

c) Same rule as in question (b) .

d) Same rule as seen in question (b) .

e) Same rule as in question (b) .

f) Same rule as in question (b) .

Note :- $<b>If only in instructions , its given to find out the answer in MIXED FRACTION , only then we may convert as told .</b>$

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2. (a) & (b) Here , we are adding the natural numbers and moving the decimal point after the no.of digits according to the no.of zeros .

c) Here , since its just given 70 without anything to add , so it remains the same and we place the points two places before 8 as there 2 zeros in 100 .

d) Here , we convert the mixed fraction into improper fraction and then divide them so as get the answer in decimal form .

(e) & (f) As is already given the fraction in proper form , so we just divide the numerator by denominator .

$<big><b>HOPE HELPS !</big></b>$