The fraction calculator will add, subtract, multiply và divide fractions with lượt thích or unlike denominators. It will also enable us to lớn simplify fractions, convert fractions lớn decimals và decimals khổng lồ fractions.
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First, simply đầu vào the values a,b,c,d for the fractions (fracab) và (fraccd), then the mathematical operation you wish lớn perform (+, -, x, /). The calculator will instantly & accurately perform the operation và give the answer in the simplest form. You can also use the calculator to kiểm tra your work that you’ve done manually.
Adding và Subtracting Fractions
Like (Common) Denominators
Add or subtract the numerators và keep the denominators the same.
Ex: (frac35 + frac45)
Since the denominator is 5 in both fractions, showroom 3 và 4 to lớn get 7. The denominator remains 5, so the answer is 7/5.
(frac76 – frac56)Since the denominator is 6 in both fractions, subtract 5 from 7 to get 2. The fraction is then (frac26).
But now we can simplify (frac26). Lớn simplify, look for a common factor. Notice that 2 divides evenly into both 2 & 6. Therefore, divide both numerator and denominator by 2 to get (frac13). The fraction is now simplified.
Unlike Denominators
To địa chỉ cửa hàng and subtract unlike denominators, first calculate the common denominator. The easiest way to bởi vì that is to multiply the two denominators. This wont always give the lowest common denominator, but you can simplify after adding và subtracting.
Ex: (frac25 + frac47)
A common denominator is 5(7) = 35. Since the denominator in the first fraction is multiplied by 7, the numerator must also be multiplied by 7 khổng lồ get (frac1435). Since the denominator in the second fraction is multiplied by 5, the numerator must be as well to lớn get (frac2035).
Now add (frac1435+frac2035=frac3435)
Subtraction is done the same way, just subtract the two fractions after rewriting the fractions with their common denominators. If you must simplify, remember to lớn divide by the greatest common factor.
Adding & Subtracting Fractions Video
Multiplying & Dividing Fractions
When multiplying fractions, simply multiply across the numerators và across the denominators. Then simplify. You can also simplify first before multiplying.
Ex: (frac29 imesfrac47)
Multiply 2 & 4 khổng lồ get 8. Then multiply 9 & 7 to lớn get 63. The result is (frac863). There is no simplification needed since the greatest common factor is 1.
Now suppose we wish to lớn divide (frac29 div frac47).
When dividing fractions, take the first fraction and multiply by the reciprocal of the second. The reciprocal is just interchanging the numerator và denominator. The division problem turns into a multiplication problem.
(frac29 imes frac74)2 × 7 = 14 và 9 × 4 = 36. So the answer is (frac1436). But notice this isn’t in simplest form. The greatest common factor is 2, so dividing both by 2 gives the simplified answer of (frac718).
Multiplying and Dividing Fractions Video
Converting Fractions to Decimals
The convert fraction lớn decimal calculator will take any fraction & change it to a decimal.
The method khổng lồ change a fraction khổng lồ a decimal is quite simple. Just divide the numerator by the denominator.
Change (frac1425) to a decimal.
Divide 14 by 25 to lớn get 0.56. You can vì this on a calculator or manually using long division. Some fractions are not as easy khổng lồ work by hand, particularly those that are non-terminating. Those are much easier to lớn work on this calculator.
But if you choose khổng lồ solve manually, the calculator makes a great tool to lớn instantly kiểm tra your work.
Converting Fractions khổng lồ Decimals Video
Converting Decimals khổng lồ Fractions
Changing decimals to lớn fractions is the inverse of changing fractions to decimals. The calculator will perform this rapidly with accurate results by simply entering the decimal value.
To convert manually, take the decimal & convert to a whole number, then divide by 10 raised to lớn the number of decimal places moved to lớn the right to convert the number. From there you can simplify the fraction if needed.
Ex:
Convert 0.68 to a fraction. Lớn change 0.68 to lớn a whole number, move the decimal point 2 places ot the right to get 68. Since we moved 2 decimal places, divide 68 by 10 raised to lớn the second power, which is 100.
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That gives us (frac68100). Now we can simplify the fraction by looking for a common factor. If you don’t know the greatest common factor you can start by dividing by any common factor. Notice 68 và 100 are both divisible by 2. This reduces the fraction lớn 34/50. From here, notice that both 34 & 50 are divisible by 2. This reduces lớn (frac1725), which is the simplified answer.
You can check your manual calculations using this calculator or simply input the information for your particular problem for nearly instant, accurate results!