They have to have a common denominator
Take the 2nd fraction, switch the denominator with the numerator, multiply across, simplify.
To change a fraction to a percent you must first divide! Say you have 1/4 as your fraction. You have to divide the top number by the bottom number, which will give you 0.25. From there, to find a percent from a decimal, you always have to move the decimal point to the right TWICE. So, following that rule, you'll find the percent, which in this case is 25%. :) Hope this helped!
You do not need to convert them, but it makes the calculation much simpler. For example to multiply 31/4 by 71/5: 31/4 = 3 + 1/4 71/5 = 7 + 1/5 31/4 x 71/5 = (3 + 1/4) x (7 + 1/5) = 3 x 7 + 3 x 1/5 + 1/4 x 7 + 1/4 x 1/5 = 21 + 3/5 + 1 3/4 + 1/20 = 21 + 12/20 + 1 + 15/20 + 1/20 = 22 + 18/20 = 232/5 Or, using improper fractions: 3 1/4 = 13/4 71/5 = 36/5 31/4 x 71/5 = 13/4 x 36/5 = (13 x 36)/(4 x 5) = (13 x 9)/5 = 117/5 = 232/5 Which with less calculations to be done is simpler and less liable to incur a mistake. With division the calculations would be horrendous whereas with improper fractions the "invert divisor and multiply" rule can be used very effectively: 31/4 / 71/5 13/4 / 36/5 = 13/4 x 5/36 = 65/144
It is easier to work with simplified radicals just as it is easier to work with simplified fractions. A fundamental rule for math is to simplify whenever possible, as much as possible.
An algorithm is a rule or procedure for solving a particular problem. We are not told what is the problem involving these 2 fractions which is to be solved.
To convert a mixed number to an improper fraction, multiply the denominator by the whole number, add that total to the numerator and put the whole thing over the original denominator.
First, change it so that the two fractions have the same denominator (by changing the fractions into equivalent fractions). Once the two fractions have the same denominator, it is simply a case of subtracting the numerators, leaving the denominator the same. Finally, reduce the fraction to its lowest terms (if possible).
As an improper fraction the numerator will be greater than the denominator or it will be a 'top heavy' fraction
Put them over 1. ie, 5 = 5/1.Mixed NumbersAs part of multiplying or dividing fractions, mixed numbers are turned into improper fractions. Use the existing fractional denominator and multiply the numerator by the whole number.Example :3 1/5 as a fraction is [ 3 x 5/5 ] + 1/5 or 15/5 + 1/5 = 16/5.
First you multiply the whole number by the denominator then add the numerator to the product then put the answer over the denominator
Fractions
They have to have a common denominator
use your pattern to write a rule for equivalent fractions
Rule #1 When two fractions have the same denominator, the bigger fraction is the one with the bigger numerator. Rule # 2 When comparing fractions that have the same numerator, the bigger fraction is the one with the smaller denominator. Rule # 3 You can convert the fractions and then just put the greater than, less than or equal to sign to see what the comparison is between the fractions.
3/4 750
Sum of the fractions = sum of numerators divided by their common denominator. Adding Fractions rule implies to addition of fractions having same denominator and as well as adding fractions with different denominators. So rule for adding fractions having the same denominator is add the numerators and simplify For example : 3/5 + 2/5 + 9/5 = (3 + 2 + 9)/5 [add the numerators] = 14/5