Fraction calculator

This estimator adds two fractions. When fractions have different denominators, firstly convert all fractions to mutual denominator. Find Least Mutual Denominator (LCD) or simple multiply all denominators to find common denominator. When all denominators are same, simply add the numerators and place the consequence over the common denominator. And so simplify the upshot to the lowest terms or a mixed number.

The result:

2/3 + iii/4 = 17 / 12 = ane five / 12 ≅ 1.4166667

Spelled issue in words is seventeen twelfths (or 1 and five twelfths).

How exercise we solve fractions stride past step?

  1. Add: two / 3 + 3 / 4 = ii · 4 / 3 · iv + three · 3 / 4 · 3 = viii / 12 + ix / 12 = 8 + 9 / 12 = 17 / 12
    It is suitable to adapt both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least mutual multiple of both denominators - LCM(3, 4) = 12. In exercise, information technology is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: iii × 4 = 12. In the following intermediate stride, it cannot further simplify the fraction result by canceling.
    In other words - two thirds plus 3 quarters is seventeen twelfths.

Rules for expressions with fractions:

Fractions - utilize a forward slash to divide the numerator past the denominator, i.due east., for v-hundredths, enter 5/100. If y'all use mixed numbers, leave a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep one infinite between the integer and
fraction and employ a forrad slash to input fractions i.e., one 2/3 . An case of a negative mixed fraction: -5 1/2.
Considering slash is both signs for fraction line and division, use a colon (:) equally the operator of division fractions i.e., 1/ii : i/three.
Decimals (decimal numbers) enter with a decimal betoken . and they are automatically converted to fractions - i.e. one.45.

Math Symbols


Symbol Symbol name Symbol Meaning Example
+ plus sign addition 1/2 + 1/3
- minus sign subtraction 1 ane/ii - two/3
* asterisk multiplication ii/3 * 3/4
× times sign multiplication 2/3 × 5/6
: division sign division i/2 : 3
/ sectionalisation slash sectionalization 1/iii / five
: colon circuitous fraction 1/ii : i/3
^ caret exponentiation / power ane/4^iii
() parentheses calculate expression inside kickoff -3/five - (-i/iv)

The figurer follows well-known rules for the order of operations. The nearly mutual mnemonics for remembering this order of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Partitioning, Improver, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Order, Division, Multiplication, Improver, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Division accept the same precedence over Addition and Subtraction. The MDAS rule is the gild of operations part of the PEMDAS rule.
Exist careful; always do multiplication and sectionalisation before addition and subtraction. Some operators (+ and -) and (* and /) have the aforementioned priority and must evaluate from left to right.

Fractions in give-and-take problems:

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  • In the cafeteria
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  • Fraction to decimal
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  • A class IV.A
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  • Value of Z
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  • Children nine
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  • Babies
    Two adults, two children, and 4 babies are on a motorcoach. What fraction of the people are babies?
  • Fruit basket
    If there are seven apples and five oranges in the basket, what fraction of oranges are in the fruit basket?

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