Fractions By: Sachin Sinha
Terminology • Mixed Numbers- a fraction and a whole number • Fraction- part of a number • Numerator- top number in a fraction • Denominator- bottom number in a fraction • Percent- of 100 • Decimal- a number based on ten • Improper Fraction- a fraction where the numerator is greater than the denominator
Mixed Numbers and Simplifying Mixed Numbers are composed of a whole number and a fraction. 4½ is a mixed number while 6/4 is an improper fraction. 6/4 is equivalent to 1½. The way to simplify a mixed number is to first divide the denominator into the numerator. (6÷4 is 1.5) Then keep the whole number and put the numbers after the decimal over the number according to the decimal. (.5 is in the tenths place so put five over ten[5/10] and simplify to ½.)The most important rule with fractions and whole numbers is to simplify!
Adding • First line the problem up vertically. • Then add the whole numbers. • If the denominators are different multiply them to get the same denominators. Make sure you also multiply the numerator by the same number you multiplied to the denominator. • Add and simplify. 2 4/7 = 2 16/28 +3 ¼ = 3 7/28 5 23/28
Subtracting • Line up the problem just like adding. • Then find a common denominator like you do in addition. If you so have a problem where the top fraction is less than the bottom fraction, then all you do is use the process borrowing in the bottom number. To borrow all you do is take one away from the whole number and add the denominator to the numerator to get the top fraction. 9 3/8= 8 11/8 - 6 5/8= 6 5/8 3. Subtract. 2 6/8= 2 3/4
Multiplying Multiplying is pretty easy. • Line the problem up horizontally. • Cross Cancel if you can. • Then multiply for your answer. • Finally simplify. 4/5 x 7/8= 1/5 x 7/2= 7/10
Dividing Dividing is just like multiplying. • Write the problem vertically. 4 3/5 ÷ 1 2/5 • Multiply the whole number by the denominator and them add the numerator to the product for the dividend and divisor. 23/5 ÷ 7/5 • Keep, change, and flip. Change the division sign to multiplication and flip the divisor. 23/5 x 5/7 • Finally multiply. 23/7 • Simplify for the last step for every problem. 3 2/7
Fractions to Percents • First step in doing this process is to write the fraction, mixed number or whole number. 7 ¾ • Then convert the mixed number into a decimal. 7.75 • Then move the decimal over two places to the right. 775%
Fractions to Decimals • First keep the whole number to the left of the decimal. • Divide the numerator into the denominator for the number to the right of the decimal. 4 ¾ 4÷3=.75 4.75 ½ 2÷1=.5 0.5 24 ¼ 4÷1=.25 24.25
Percents to Decimals • First make it easy for you. Eliminate the percentage sign (%). • Then simply move the decimal over two places to the left. You may sometimes have to include a zero. 77%= .77 64%= .64 2%= .02 724%= 7.24
Thank you I hope you learned something from my presentation!