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Do mathematics calculations with mixed numbers (mixed fractions) performing to work on fractions, totality numbers, integers, combined numbers, mixed fractions and also improper fractions. The blended Numbers Calculator deserve to add, subtract, multiply and divide combined numbers and fractions.

Mixed numbers Calculator (also described as blended Fractions):

This online calculator handles basic operations on totality numbers, integers, combined numbers, fractions and also improper fractions by adding, subtracting, separating or multiplying. The price is noted in a reduced portion and a blended number if the exists.

Enter mixed numbers, totality numbers or fractions in the following formats:

blended numbers: enter as 1 1/2 i beg your pardon is one and one fifty percent or 25 3/32 which is twenty five and also three thirty seconds. Keep exactly one space between the totality number and fraction and usage a forward slash to entry fractions. You can go into up come 3 number in length for each whole number, molecule or denominator (123 456/789). Whole numbers: approximately 3 number in length. Fractions: get in as 3/4 which is 3 fourths or 3/100 i beg your pardon is 3 one hundredths. You can go into up come 3 number in size for each the numerators and denominators (e.g., 456/789).

Adding mixed Numbers utilizing the adding Fractions Formula

transform the mixed numbers to improper fractions use the algebraic formula for enhancement of fractions: a/b + c/d = (ad + bc) / bd minimize fractions and simplify if feasible

Adding fractions Formula




You are watching: How to add a whole number and a fraction

1 2/6 + 2 1/4 = 8/6 + 9/4 = (8*4 + 9*6) / 6*4 = 86 / 24

So we gain 86/24 and simplify come 3 7/12

Subtracting combined Numbers utilizing the Subtracting fountain Formula

transform the combined numbers come improper fractions use the algebraic formula because that subtraction the fractions: a/b - c/d = (ad - bc) / bd minimize fractions and also simplify if possible

Subtracting fractions Formula


Example

Subtract 2 1/4 native 1 2/6

1 2/6 - 2 1/4 = 8/6 - 9/4 = (8*4 - 9*6) / 6*4 = -22 / 24

Reduce the portion to gain -11/12

Multiplying combined Numbers making use of the Multiplying fractions Formula

convert the blended numbers to improper fractions usage the algebraic formula because that multiplying the fractions: a/b * c/d = ac / bd reduce fractions and simplify if feasible

Multiplying fountain Formula


Example

multiply 1 2/6 by 2 1/4

1 2/6 * 2 1/4 = 8/6 * 9/4 = 8*9 / 6*4 = 72 / 24

Reduce the fraction to gain 3/1 and simplify to 3

Dividing blended Numbers making use of the dividing Fractions Formula

convert the mixed numbers to improper fractions use the algebraic formula for department of fractions: a/b ÷ c/d = advertisement / bc reduce fractions and also simplify if possible

Dividing fractions Formula


Example

divide 1 2/6 by 2 1/4

1 2/6 ÷ 2 1/4 = 8/6 ÷ 9/4 = 8*4 / 9*6 = 32 / 54

Reduce the portion to gain 16/27

Related Calculators

To do math to work on an easy proper or not correct fractions use our fountain Calculator. This calculator simplifies improper fraction answers right into mixed numbers.

If you want to simplify an individual fraction into lowest terms usage our simplify Fractions Calculator.

For one explanation of just how to variable numbers to discover the greatest usual factor (GCF) see the Greatest common Factor Calculator.

If you room simplifying large fractions by hand you have the right to use the Long division with Remainders Calculator to discover whole number and remainder values.


Cite this content, web page or calculator as:

Furey, Edward "Mixed numbers Calculator" at https://www.sdrta.net/calculators/math/mixednumbers.php native sdrta.net, https://www.sdrta.net - digital Calculators


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