fractions
what is a fraction = A fraction simply tells us how many parts of a whole we have
now lets know the type of fractions
1. proper fraction = the type of fraction in which the numerator is smaller than the denominator
2. improper fraction = the type of fraction in which the denominator is smaller than the numerator
3. mixed fraction = the type of fraction in which A whole number and a fraction combined into one "mixed" number.
4. complex fraction = the type of fraction in which a fraction with a fraction or mixed number in the numerator or denominator or both — compare simple fraction
5. vulgar fraction = the type of fraction in which. Vulgar fraction, common fraction or fraction is a fraction written in the usual way which is one number (integer) above another (integer) separated by a line
6. decimal fraction = the type of fraction in which the denominator is a multiple of 10
7. like fraction = the type of fraction in which the fractions have the same denominator
8. unlike fraction = the type of fraction in which the denominator is not the same
9. equivalent fractions = equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.
now convert a fraction in decimal
like 5/6
simply divide 5 by 6 = 0.83
what about 1 5/6 simply convert it to improper fraction and divide it by 6
11/6
now lets compare fractions and represent fractions on a numberline
lets represent 4/9 and 2 5/9 in a numberline
so 4/9 means 4 parts of a whole so 9/9= 1 , now we know 4/9 will be between 0 and 1
0-----1/9-----2/9-----3/9-----4/9-----5/9-----6/9-----7/9-----8/9-----1
and 2 4/9 mean 2 wholes and 4 out of 9 parts to reach 3 so we now know 2 4/9 will be between 2 and 3
*
2-----1/9-----2/9-----3/9-----4/9-----5/9-----6/9-----7/9-----8/9-----3
now lets compare two fraction
how about 4/5 and 7/9
so first lets take the lcm as then we have a common denominator then we can make a equivalent fraction and then compare like this
4/5 7/9
36/45 > 35/45
now if they say to add or subtract take the lcm and make it equivalent and then subtract or add
next is all just understanding the word problems that's all
