Calculator adding fractions
Fraction add calculator. Write the fractions and put a plus sign (add sign +) between them. The calculator can also handle other operations with fractions and their combinations.This calculator adds two fractions. When fractions have the same denominators calculator simply adds the numerators and place the result over the common denominator. Then simplify the result to the lowest terms or a mixed number.
2/4 + 3/4 = 5/4 = 1 1/4 = 1.25
Spelled result in words is five quarters (or one and one quarter).How do we solve fractions step by step?
- Add: 2/4 + 3/4 = 2 + 3/4 = 5/4
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(4, 4) = 4. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 4 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - two quarters plus three quarters is five 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 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.
Math Symbols
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) |
The calculator follows well-known rules for the order of operations. The most common mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division have the same precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be careful; always do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) has the same priority and then must evaluate from left to right.
Fractions in word problems:
- There 22
There is 5/8 of a pizza in one box and 9/12 of a pizza in another box. How much do you have altogether?
- Adding two fractions
Find the missing fraction: 2/5 + 7/10 =
- Adding mixed fractions
Add these two mixed numbers: 1 5/6 + 2 2/11=
- Add two fractions
What is the sum of 2/3 and 3/10?
- Integer add to fraction
7 is added to the sum of 4/5 and 6/7
- Samuel
Samuel has 1/3 of a bag of rice and Isabella has a 1/2 bag of rice. What fraction of are bag of rice do they have altogether?
- Adding denominators
Max is working out 2/3+7/9. He says the answer is 9/12. What mistake have Max made?
- Randy
Randy solved the following problem: 7/8 + 9/16. He said: I can add 7 and 9 to get 16 and add 8 and 15 to get 23. The answer is 16/23. Is randy correct? Explain.
- Add fractions
Add/subtract the following similar fraction. Express answer in lowest terms if possible. Write your answer inside the box: 5/12 + 6/12
- Sum of three fractions
What is the sum of 6/7, 1/2 & 3/4?
- Add two fractions
What is 1/4 + 10/16?
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