Fraction calculator

This calculator adds two fractions. When fractions have different denominators, firstly convert all fractions to common denominator. Notice To the lowest degree Mutual Denominator (LCD) or simple multiply all denominators to notice common denominator. When all denominators are aforementioned, simply add the numerators and place the issue over the mutual denominator. Then simplify the event to the lowest terms or a mixed number.

The consequence:

3/four + 1/3 = 13 / 12 = 1 1 / 12 ≅ 1.0833333

Spelled result in words is 13 twelfths (or one and one twelfth).

How do nosotros solve fractions step past step?

  1. Add: 3 / 4 + i / iii = iii · iii / 4 · three + 1 · iv / iii · 4 = 9 / 12 + four / 12 = 9 + 4 / 12 = 13 / 12
    It is suitable to adjust both fractions to a mutual (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you tin can summate equally the to the lowest degree common multiple of both denominators - LCM(4, 3) = 12. In practice, information technology is enough to find the common denominator (not necessarily the lowest) past multiplying the denominators: four × iii = 12. In the following intermediate stride, information technology cannot further simplify the fraction result past canceling.
    In other words - three quarters plus one third is xiii twelfths.

Rules for expressions with fractions:

Fractions - utilise a forward slash to separate the numerator by the denominator, i.e., for five-hundredths, enter v/100. If you lot use mixed numbers, leave a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) keep 1 infinite between the integer and
fraction and use a forward slash to input fractions i.e., 1 2/iii . An case of a negative mixed fraction: -v one/2.
Because slash is both signs for fraction line and division, use a colon (:) as the operator of division fractions i.e., one/ii : 1/iii.
Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.due east. 1.45.

Math Symbols


Symbol Symbol name Symbol Meaning Instance
+ plus sign improver 1/2 + i/3
- minus sign subtraction 1 1/2 - ii/3
* asterisk multiplication ii/3 * 3/4
× times sign multiplication ii/3 × 5/6
: sectionalisation sign partition one/2 : 3
/ partition slash partition i/3 / five
: colon complex fraction 1/two : one/iii
^ caret exponentiation / power 1/4^3
() parentheses calculate expression inside outset -three/5 - (-1/four)

The calculator follows well-known rules for the club of operations. The most common mnemonics for remembering this society of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Sectionalisation, Addition, Subtraction.
BEDMAS - Brackets, Exponents, Partition, Multiplication, Addition, Subtraction
BODMAS - Brackets, Of or Gild, Division, Multiplication, Add-on, Subtraction.
GEMDAS - Group Symbols - brackets (){}, Exponents, Multiplication, Division, Addition, Subtraction.
MDAS - Multiplication and Partitioning have the aforementioned precedence over Addition and Subtraction. The MDAS rule is the order of operations part of the PEMDAS rule.
Be conscientious; ever do multiplication and division before addition and subtraction. Some operators (+ and -) and (* and /) accept the same priority and must evaluate from left to correct.

Fractions in word bug:

  • Fraction and a decimal
    Write equally a fraction and a decimal. Ane and two plus three and five hundredths
  • A class Four.A
    In a class, at that place are 15 girls and thirty boys.  What fraction of the class represents the boys?
  • Fractions 80134
    There are 420 pupils in the school. Ii hundred l-two pupils become to the 1st level. Write equally a fraction what part of the pupils goes to the 1st course and what part to the 2nd grade. Shorten both fractions to their basic grade.
  • A quarter
    A quarter of the number 72 is:
  • Someone
    Someone ate 1/10 of a block, leaving but 9/x. If you eat 2/3 of the cake left, how much of a whole cake will you take eaten?
  • Max has 2
    Max has 13 pairs of socks. From this, half-dozen pairs are blue, three pairs are brown, two are black, and two are white. What fraction of Max's socks are either brown or blackness?
  • Using money
    Out of 550,000.00 given to a schoolhouse, an amount of 325,000.00 was used. What fraction of the total amount was used?
  • Babies
    Two adults, ii children, and iv babies are on a bus. What fraction of the people are babies?
  • Lowest terms two
    Nosotros can write the expression 4/12 in its lowest term as 1/3. What is 3/15 expressed in its lowest term?
  • Fraction to decimal
    Write the fraction 3/22 every bit a decimal.
  • In fractions
    An pismire climbs 2/five of the pole in the commencement hr and climbs 1/4 of the pole in the next hour. What part of the pole does the ant climb in 2 hours?

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