This fraction calculator performs basic and advanced fraction operations, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. The calculator helps in finding value from multiple fractions operations. Solve problems with two, three, or more fractions and numbers in one expression.
(3 1/2) : 2 = 7/ = 1 3/ = 1.75Spelled result in words is seven quarters (or one and three quarters).
How do we solve fractions step by step?
- Conversion a mixed number 3 1/ to a improper fraction: 3 1/2 = 3 1/ = 3 · 2 + 1/ = 6 + 1/ = 7/
To find a new numerator:
a) Multiply the whole number 3 by the denominator 2. Whole number 3 equally 3 * 2/ = 6/
b) Add the answer from the previous step 6 to the numerator 1. New numerator is 6 + 1 = 7
c) Write a previous answer (new numerator 7) over the denominator 2.
Three and one half is seven halfs.
- Divide: 7/ : 2 = 7/ · 1/ = 7 · 1/ = 7/
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 2/ is 1/) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seven halfs divided by two is seven quarters.
Rules for expressions with fractions:Fractions - use a forward slash to divide the numerator by the denominator, i.e., for five-hundredths, enter 5/100. If you use mixed numbers, leave a space between the whole and fraction parts.
Mixed numerals (mixed numbers or fractions) keep one space between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/3 . An example of a negative mixed fraction: -5 1/2.
Because slash is both sign for fraction line and division, use a colon (:) as the operator of division fractions i.e., 1/2 : 1/3.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.
|Symbol||Symbol name||Symbol Meaning||Example|
|+||plus sign||addition||1/2 + 1/3|
|-||minus sign||subtraction||1 1/2 - 2/3|
|*||asterisk||multiplication||2/3 * 3/4|
|×||times sign||multiplication||2/3 × 5/6|
|:||division sign||division||1/2 : 3|
|/||division slash||division||1/3 / 5|
|:||colon||complex fraction||1/2 : 1/3|
|^||caret||exponentiation / power||1/4^3|
|()||parentheses||calculate expression inside first||-3/5 - (-1/4)|
Fractions in word problems:
- Division by reciprocal
What is the corresponding illustration/model of 7÷ 1/3?
- What is 16
What is the quotient of 11 over 12 divided by one-third?
- Divide 13
Divide. Simplify your answer and write it as an improper fraction or whole number. 14÷8/3
- A seller
A seller sliced some pizza into eights. After selling 57 slices, seven slices were left. How many whole pizzas did the vendor slice?
- Division by unknown
What 3 divided by what = 21
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