Calculator Subtracting Two Mixed Numbers



This calculator performs basic and advanced operations with mixed numbers, fractions, integers, and decimals. Mixed numbers are also called mixed fractions. A mixed number is a whole number and a proper fraction combined, i.e. one and three-quarters. The calculator evaluates the expression or solves the equation with step-by-step calculation progress information. Solve problems with two or more mixed numbers fractions in one expression.

7 1/2 - 5 3/4 = 7/4 = 1 3/4 = 1.75

Spelled out: one and three quarters (or seven quarters).

Calculation steps

  1. Conversion a mixed number 7 1/2 to a improper fraction: 7 1/2 = 7 1/2 = 7 · 2 + 1/2 = 14 + 1/2 = 15/2

    To find a new numerator:
    a) Multiply the whole number 7 by the denominator 2. Whole number 7 equally 7 * 2/2 = 14/2
    b) Add the answer from the previous step 14 to the numerator 1. New numerator is 14 + 1 = 15
    c) Write a previous answer (new numerator 15) over the denominator 2.

    Seven and a half is fifteen halves.
  2. Conversion a mixed number 5 3/4 to a improper fraction: 5 3/4 = 5 3/4 = 5 · 4 + 3/4 = 20 + 3/4 = 23/4

    To find a new numerator:
    a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4
    b) Add the answer from the previous step 20 to the numerator 3. New numerator is 20 + 3 = 23
    c) Write a previous answer (new numerator 23) over the denominator 4.

    Five and three quarters is twenty-three quarters.
  3. Subtract: 15/2 - 23/4 = 15 · 2/2 · 2 - 23/4 = 30/4 - 23/4 = 30 - 23/4 = 7/4
    It is suitable to adjust both fractions to a common (equal) denominator for subtracting fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 4) = 4. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 4 = 8. In the following intermediate step, the fraction cannot be simplified further by cancelling.
    In other words, fifteen halves minus twenty-three quarters equals seven quarters.

What is a mixed number?

A mixed number is an integer and fraction acb​ whose value equals the sum of that integer and fraction. For example, we write two and four-fifths as 254​. Its value is 254​=2+54​=510​+54​=514​. The mixed number is the exception - the missing operand between a whole number and a fraction is not multiplication but an addition: 254​​=2⋅ 54​. A negative mixed number - the minus sign also applies to the fractional −254​=−(254​)=−(2+54​)=−514​. A mixed number is sometimes called a mixed fraction. Usually, a mixed number contains a natural number and a proper fraction, and its value is an improper fraction, that is, one where the numerator is greater than the denominator.

How do I imagine a mixed number?

We can imagine mixed numbers in the example of cakes. We have three cakes, and we have divided each into five parts. We thus obtained 3 * 5 = 15 pieces of cake. One piece when we ate, there were 14 pieces left, which is 254​ of cake. When we eat two pieces, 253​ of the cake remains.

Mixed number in word problems:



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