Math Homework Help

Addition and Subtraction

When adding or subtracting fractions, if the denominators are same, simply add or subtract the numerators and write the denominator given.

If the denominators are different, convert each fraction so that its denominator is equal to the Lowest Common Multiple of the denominators of the given fractions. This means multiplying both the numerator and denominator by the same term. For example, say the LCM is 24 and one fraction in the problem is 5/6, then to convert that fraction to denominator of 24 you must multiply numerator and denominator by4, so the fraction becomes 20/24. You follow this same procedure for each term, add or subtract as indicated by the sign of each term and divide the total by the LCM

For example:


Multiplication of Fractions is straightforward. You just multiply the numerators and multiply the denominators and then reduce the fraction to its lowest term, if possible

When we divide Fractions, we actually multiply the numerator by the reciprocal of the denominator. A reciprocal is a fraction turned upside down. For example, 3/4 divided by 5/6 = 3/4*6/5 = 18/20 = 9/10

It appears that many students, even some students of grade 9 and grade 10 are struggling with fractions. So I have prepared this lesson.Not in a thorough but simplified manner.

A term which is of the form a/b is called a fraction. The top Numbers a’ is called the numerator and the bottom number ‘b’ is called the denominator.

Proper fraction: If the numerator is less than the denominator, it is called a proper fraction
Example:1/2,4/7

Improper Fraction: If the numerator is greater than the denominator, it is called an improper fraction.

Example:5/2,9/7

Mixed Fraction: - A term consisting of an integer (5) followed by a proper fraction (2/3), written as 5 2/3 is called a mixed fraction.

see you tomorrow

It is possible with a little trickery to prove that 2=3 by using algebra.

Let x=y=5