The fraction calculator will certainly add, subtract, multiply and divide fractions with prefer or uneven denominators. It will certainly also permit us to leveling fractions, convert fractions to decimals and also decimals come fractions.

You are watching: 1/4 divided by 7

First, merely input the worths a,b,c,d for the fountain (fracab) and (fraccd), then the mathematical operation you wish to perform (+, -, x, /). The calculator will instantly and accurately perform the operation and give the price in the most basic form. Friend can likewise use the calculator to check your work that you’ve done manually.

Adding and also Subtracting Fractions

Like (Common) Denominators

Add or subtract the numerators and also keep the platform the same.

Ex: (frac35 + frac45)

Since the denominator is 5 in both fractions, add 3 and 4 to get 7. The denominator stays 5, for this reason the answer is 7/5.

(frac76 – frac56)

Since the denominator is 6 in both fractions, subtract 5 native 7 to gain 2. The portion is then (frac26).

But now we have the right to simplify (frac26). Come simplify, look because that a usual factor. Notification that 2 divides evenly into both 2 and 6. Therefore, divide both numerator and also denominator through 2 to acquire (frac13). The portion is now simplified.

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Unlike Denominators

To include and subtract unequal denominators, very first calculate the common denominator. The easiest way to perform that is to main point the two denominators. This wont constantly give the lowest common denominator, but you have the right to simplify after including and subtracting.

Ex: (frac25 + frac47)

A typical denominator is 5(7) = 35. Due to the fact that the denominator in the an initial fraction is multiplied by 7, the molecule must likewise be multiply by 7 to gain (frac1435). Since the denominator in the second portion is multiply by 5, the numerator need to be as well to acquire (frac2035).

Now add (frac1435+frac2035=frac3435)

Subtraction is excellent the exact same way, just subtract the two fractions ~ rewriting the fractions v their common denominators. If you need to simplify, psychic to division by the greatest typical factor.

Adding and also Subtracting fountain Video

Multiplying and also Dividing Fractions

When multiplying fractions, just multiply across the numerators and throughout the denominators. Climate simplify. Friend can also simplify first before multiplying.

Ex: (frac29 imesfrac47)

Multiply 2 and 4 to gain 8. Climate multiply 9 and also 7 to gain 63. The an outcome is (frac863). There is no leveling needed since the greatest usual factor is 1.

Now suppose we wish to division (frac29 div frac47).

When separating fractions, take the very first fraction and also multiply by the reciprocal of the second. The reciprocal is simply interchanging the numerator and also denominator. The department problem turns into a multiplication problem.

(frac29 imes frac74)

2 × 7 = 14 and 9 × 4 = 36. For this reason the price is (frac1436). But notice this isn’t in most basic form. The greatest typical factor is 2, so splitting both by 2 offers the streamlined answer of (frac718).

Multiplying and Dividing fountain Video

Converting fountain to Decimals

The convert fraction to decimal calculator will take any fraction and adjust it come a decimal.

The method to change a portion to a decimal is rather simple. Simply divide the molecule by the denominator.

Change (frac1425) come a decimal.

Divide 14 by 25 to gain 0.56. You can do this ~ above a calculator or manually using lengthy division. Part fractions space not as basic to job-related by hand, an especially those that space non-terminating. Those space much simpler to occupational on this calculator.

But if you select to fix manually, the calculator renders a good tool come instantly check your work.

Converting fractions to decimal Video

Converting decimals to Fractions

Changing decimals to fractions is the station of transforming fractions come decimals. The calculator will execute this rapidly with accurate results by merely entering the decimal value.

To convert manually, take it the decimal and also convert come a totality number, then divide by 10 increased to the number of decimal places moved come the ideal to transform the number. From there you have the right to simplify the portion if needed.

Ex:

Convert 0.68 come a fraction. To readjust 0.68 come a entirety number, relocate the decimal allude 2 areas ot the appropriate to acquire 68. Because we relocated 2 decimal places, division 68 through 10 raised to the second power, i m sorry is 100.

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That gives us (frac68100). Currently we can simplify the fraction by looking for a common factor. If you don’t understand the greatest typical factor you can start by splitting by any common factor. Notification 68 and also 100 space both divisible by 2. This reduce the fraction to 34/50. Native here, notice that both 34 and 50 room divisible by 2. This reduces to (frac1725), i m sorry is the simplified answer.

You can examine your hands-on calculations utilizing this calculator or merely input the info for your particular problem for almost instant, exact results!