Step-by-step explanation:
This 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.
The result:
4 2/5 - 3 3/4 = 13
20
= 0.65
Conversion a mixed number 4 2
5
to a improper fraction: 4 2/5 = 4 2
5
= 4 · 5 + 2
5
= 20 + 2
5
= 22
5
To find a new numerator:
a) Multiply the whole number 4 by the denominator 5. Whole number 4 equally
4 * 5
5
= 20
5
b) Add the answer from previous step 20 to the numerator 2. New numerator is 20 + 2 = 22
c) Write a previous answer (new numerator 22) over the denominator 5.
Four and two fifths is twenty-two fifths
Conversion a mixed number 3 3
4
to a improper fraction: 3 3/4 = 3 3
4
= 3 · 4 + 3
4
= 12 + 3
4
= 15
4
To find a new numerator:
a) Multiply the whole number 3 by the denominator 4. Whole number 3 equally
3 * 4
4
= 12
4
b) Add the answer from previous step 12 to the numerator 3. New numerator is 12 + 3 = 15
c) Write a previous answer (new numerator 15) over the denominator 4.
Three and three quarters is fifteen quarters
Subtract: 22
5
- 15
4
= 22 · 4
5 · 4
- 15 · 5
4 · 5
= 88
20
- 75
20
= 88 - 75
20
=
13
20
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 4) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 4 = 20. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - twenty-two fifths minus fifteen quarters is thirteen twentieths.
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 signs 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.
