Fractions which are more than a whole are known as mixed fractions or mixed numbers.
For instance: Nicholas has 3 chocolates, and each chocolate has 3 bars. He eats 7 bars of chocolate, which means 2 whole chocolates and 1 bar of the third
chocolate.
Real-life examples of Subtracting mixed numbers:
How to Subtracting mixed numbers?
Case 1: Subtracting mixed numbers with same denominators
Follow the given steps to subtract mixed numbers with same denominators:
Step 1– Subtract the wholes.
Step 2– Convert the fractions into improper fractions.
Step 3– Subtract the fraction.
Step 4– Change the improper fraction into a mixed number if needed.
Step 5– Write the mixed number with wholes and the fraction.
Example 1: 5 7⁄3
– 3 2⁄3
Step 1 – Subtract 3 from 5.
5 – 3 =2
Step 2 – Subtract the fractions:
7⁄3 – 2⁄3
Step 3 – Write the fraction with whole.
5 7⁄3 – 3 2⁄3 =
2 5⁄3
Case 2: Subtracting mixed numbers with different denominators
Follow the given steps to subtract mixed numbers with different denominators:
Step 1– Convert the mixed numbers into improper fractions.
Step 2– Find the common multiple of both the denominators.
Step 3– Convert the fractions as common denominators.
Step 4–
Solve the fractions.
Step 5– Convert the fraction as a mixed number.
Example 2: 6 1⁄2 – 1 3⁄4
Step 1– Convert the mixed numbers into improper fractions.
1 3⁄2 – 7⁄4
Step 2– Find the common multiple of both the denominators 2 and 4.
The common multiple of 2 and 4 is 4.
Step 3– Convert the fractions as common denominators.
Step 4– Solve the fractions
26⁄4 – 7⁄4 = 19⁄4
Step 5– Convert the fraction as a mixed number.
19⁄4 = 4 3⁄4
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Subtracting Fractions and Whole Numbers WorksheetsThis fraction worksheet is for practicing subtracting fractions from whole numbers. You can select from five different degrees of difficulty. The easiest will keep the denominators and the numerators between 1 and 9. The hardest will keep the numerators between 1 and 20. The answer worksheet will show the progression on how to solve the problems. First convert the whole number to a fraction. Then subtract and
check to see if we need to simplify or reduce the mixed number. This fraction worksheet will generate 10 or 15 mixed number subtraction problems per worksheet.
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Subtracting Mixed Numbers WorksheetsThis fraction worksheet is great for practicing subtracting Mixed Numbers Problems. You may select whether or not the problems require regrouping or not. The problems may be selected for five different degrees of difficulty. The easiest will keep the denominators the same and the numerators between 1 and 9. The hardest will keep the numerators between 1 and 20 and the common denominators under 120. The answer worksheet will
show the progression on how to solve the problems. First find the common denominator and adjust the fractions. The next step is to regroup if needed. Then subtract the numerators and whole numbers. Then check to see if we need to simplify or reduce the mixed number. This fraction worksheet will generate 10 or 15 mixed number subtraction problems per worksheet, and remember every time you create a worksheet the problems will change and will not repeat.
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How do you subtract mixed fractions with whole numbers and different denominators?
To subtract mixed numbers with different denominators, follow these steps:.
Rename the fractions using a common denominator..
Subtract whole numbers from whole numbers. You might need to regroup first..
Subtract fractions from fractions. ..
Simplify, if needed..