You can find how many groups of the fraction you can fit in the whole by dividing a whole number by a fraction.The standard way of dividing a whole number by a fraction is to use the inverse of the fraction.You can draw a diagram to help visualize the process.
Step 1: The whole number can be converted to a fraction.
The whole number is the numerator of a fraction.The denominator is 1.If you're calculating 734displaystyle, you would first change it to 71 displaystyle.
Step 2: Find the inverse of the divisor.
The number is inverse of the number.If you reverse the numerator and denominator, you can find the inverse of a fraction.The inverse of 34 is 43.
Step 3: Put the two fractions together.
If you want to add fractions, first add the numerators together.Then, divide the total by the number of denominators.The quotient of your original division problem is equal to the product of the two fractions.For example, 71 43 is a display style.
Step 4: If it's necessary, simplify.
If you have an improper fraction, your teacher may want you to change it to a mixed number.Reduction of proper fractions to lowest terms is usually required by your teacher.For example, 283displaystyle frac283 simplifies to the mixed number.
Step 5: Shapes represent the whole number.
Your shape should be able to divide into equal groups.You can divide the shapes into smaller pieces by drawing them large.You would draw 5 circles if you were calculating 534displaystyle.
Step 6: Divide the shape according to the fraction.
How many pieces a whole is divided into is determined by the denominator of a fraction.Divide the shape into its parts.The 4 in the denominator tells you to divide each shape into fourths.
Step 7: There are groups representing the fraction.
You are looking to see how many groups of the fraction are in the whole number.You need to create your groups.Some groups have pieces in two different parts, so it might be helpful to shade them differently.Leave the pieces unshaded.If you divide 5 by 34 you would divide 3 quarters into different colors.Many groups will have 2 quarters in one whole, and 1 quarter in another whole.
Step 8: Take the number of whole groups.
You'll get the whole number of your answer with this.Among your 5 circles, you should have created 6 groups of 34displaystyle frac34.
Step 9: Distinguish leftover pieces.
Take the number of pieces and divide them by the whole group.The fraction of your answer will be indicated by the group that you have left over.If you compare the number of pieces to a whole shape, you'll get the wrong fraction.You have 2 quarters, or 24displaystyle frac2 left, if you divide the 5 shapes into groups.Since you have 2 pieces and a whole group, your fraction is 23.
Step 10: Write the answer.
To find the quotient of your original division problem, combine your whole number of groups with your fractional number.For example, 534 is a display style.
Step 11: This is a math problem.
How many times does the display style go into the 8 style?The problem is one of division since it is asking how many groups of 12 are in 8.Put 8 over 1: 81 and it will become a fraction.You can find the inverse of the fraction by reversing the numerator and denominator.Divide 8121 by 161 to get the two fractions.It is necessary to simplify if necessary.
Step 12: There is a problem that you can solve.
The display style is 16div frac.If you want to convert 16 into a fraction, place it over 1:161.The fraction can be taken by reversing the numerator and denominator.Multiply the two fractions by the number of times.It is necessary to simplify if necessary.
Step 13: Draw a diagram to solve the problem.
There are 9 cans of food.She eats a can every day.How long will her food last?9 cans are represented by 9 circles.Divide each circle into thirds, since she eats 23 displays at a time.There are 23 groups of color.The number of complete groups should be counted.13 should be there.The leftover pieces need to be understood.13displaystyle frac13 is the last piece leftover.You have half a group left over since a whole group is 23displaystyle.Your fraction is 12displaystyle.You can find your answer by combining the number of whole groups and fractional groups.