Page 43 - Maths Skills - 7

Fractions and Decimals 41

MIND MAP

Fractions and Decimals

Fraction Decimal

Types Structure Expanded Form
PROPER FRACTION “It is a part of whole” Decimal point
In this, Numerator < Denominator Fraction = Number of Consider Parts
3 4
e.g. , Number of Total Parts
4 7 Hundreds Tens Ones Tenth
IMPROPER FRACTION Hundredth Thousandth
In this, Numerator > Denominator 3 4 5
7 8
e.g. , 65.345 = 60 + 5 + 10 + 100 + 1000
5 7 = 60 + 5 + 0.3 + 0.04 + 0.005
MIXED FRACTION
Combination of
whole number + proper fraction
1 1 Comparison of Fractions Conversion
e.g. 3 = 3 + 5 1. If two fractions have the
5
LIKE FRACTIONS same denominator then
Fractions with same denominator larger the numerator greater Decimal into Fraction
the fraction.
1 4 7
e.g. , ,
5 5 5 2. If two fractions have the Remove Decimal
UNLIKE FRACTIONS same numerator then 35.456 = 35456
greater the denominator
Fractions with different smaller the fraction. 1000
denominator 3. For different numerator and
1 2 6
e.g. , , denominator affix, number of zeros equal to
3 5 7 p r number of digits after decimal
q
UNIT FRACTION e.g. and point.
s
p
Fractions with 1 as numerator r Fraction into Decimal
1 1 1
e.g. , , q s
7 6 11 Now (p × s) and (r × q) 3
p
EQUIVALENT FRACTIONS If (p × s) > (r × q) then > r 5
Fractions having same value q s
p
1 2 3
e.g. , , If (p × s) < (r × q) then < r 3 3 3 2 6
q
2 4 6 s = 0.6 = × = = 0.6
5 5 5 2 10