Fraction minus whole number calculator

Use the calculator below to find the answer to a fraction minus a whole number problem.





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It is possible to subtract a whole number from a fraction and vice versa. In this article I will show you how to subtract a whole number from a fraction  the parts of a fraction and the types of fraction.

Parts of a fraction

Let’s use A/B for illustration purpose.

A is the numerator

B is the Denominator

/ is the separator that separates the numerator and the denominator

How to subtract a whole number from fractions

There are two methods to subtract a whole number from a fraction. The first method is by finding LCM while the second one is by cross multiplication

Method 1: By finding LCM

Step 1: Rewrite the whole number as a fraction

Step 2: Find the LCM of the two fractions (Here is an LCM guide)

Step 3: Use the LCM to convert the whole number to have the same denominator as the fraction (Multiply the whole number with a fancy form of 1)

Step 4: Now you can subtract them directly since they have equal denominators

Example 1: What is 5/2 – 9?

Step 1: 5/2 -9/1

Step 2: The LCM of 2 and 1 is 2

Step 3: 9/1 × 2/2 =18/2

Therefore the new problem is 5/2 – 18/2

Step 4: 5/2 – 18/2 =-13/2

Thus 5/2 minus 9 is equal to -13/2

Example 2: What is 10/3 minus 3

Step 1: 10/3 – 3/1

Step 2: The LCM of 3 and 1 is 3

Step 3: 3/1 × 3/3 = 9/3

Therefore the new problem is 10/3 -9/3

Step 4: 10/3 – 9/3 = 1/3

Thus 10/3 minus 3/1 is equal to 1/3

Method 2: By cross-multiplication

Step 1: Convert the whole number to a fraction by dividing it by 1

Step 2: Write your new problem

Step 3: Multiply the first numerator by the second denominator

Step 4: Multiply the first denominator by the second numerator

Step 5: Multiply both denominators

Step 6: Subtract the numerators

Step 7: Write the answer in its simplest form

Example : What is 4/3 – 6?

Step 1: 6/1

Step 2: 4/3 – 6/1

Step 3: 4 × 1

Step 4: 3 x 6

Step 5: (4 × 1) – (3/6) / (3 × 1)

Step 6: -4 2/3

Thus 4/3 minus 6 is equal to -4 2/3

Types of Fraction

Proper fraction

A proper fraction is the normal fraction in which the numerator is less or equal to the denominator. Examples of proper fractions include: ½, 1/3, ¼, 1/5, 1/6,

Improper fraction

Improper fraction refers to a fraction with a larger numerator than the denominator: Examples of improper fractions include: 2/1, 5/2, 4/3, 9/4/, 20/6

Mixed fraction

A mixed fraction refers to a combination of whole numbers and fractions. Examples of Proper fractions include: 2 1/3, 4 1/5, 6 4/9, 10 5/6

Like Fractions

Like fractions refer to fractions that share the same denominator. Examples of like fractions include: 2/3, 5/3, 6/3, 7/3, 8/3

Unlike Fractions

Unlike fractions are the opposite of like fractions. These are fractions that share different denominators, Examples of unlike fractions include: ½, 10/23, 30/50, 4/5, 7/9

Equivalent fractions

Equivalent fractions refer to two fractions that represent the same portion of a whole. In short terms they are equal when simplified. Examples of equivalent fractions include: 2/4 and ½, 3/9 and 1