Fraction calculator

This calculator adds two fractions. When fractions have the aforementioned denominators calculator simply adds the numerators and identify the consequence over the common denominator. Then simplify the result to the lowest terms or a mixed number.

The result:

1/iv + ane/4 = 1 / 2 = 0.5

Spelled event in words is one half.

How do we solve fractions step past step?

  1. Add together: 1 / four + 1 / 4 = 1 + 1 / 4 = ii / 4 = 2 · 1 / ii · 2 = 1 / 2
    It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator yous tin calculate as the to the lowest degree mutual multiple of both denominators - LCM(4, iv) = 4. In practice, information technology is enough to notice the common denominator (not necessarily the lowest) by multiplying the denominators: iv × 4 = sixteen. In the post-obit intermediate step, abolish by a common cistron of 2 gives one / 2 .
    In other words - 1 quarter plus i quarter is one half.

Rules for expressions with fractions:

Fractions - use a forward slash to dissever the numerator by the denominator, i.e., for 5-hundredths, enter five/100. If you lot utilize mixed numbers, go out a infinite between the whole and fraction parts.

Mixed numerals (mixed numbers or fractions) go on ane space betwixt the integer and
fraction and utilize a frontwards slash to input fractions i.e., i two/3 . An case of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, apply a colon (:) as the operator of sectionalisation fractions i.e., 1/ii : i/three.
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 Pregnant Instance
+ plus sign addition 1/2 + 1/iii
- minus sign subtraction 1 1/2 - 2/3
* asterisk multiplication 2/3 * three/four
× times sign multiplication 2/3 × 5/6
: sectionalisation sign division 1/2 : 3
/ division slash division ane/three / five
: colon complex fraction i/two : 1/3
^ caret exponentiation / power i/iv^3
() parentheses calculate expression inside first -3/v - (-i/4)

The computer follows well-known rules for the society of operations. The nigh common mnemonics for remembering this social club of operations are:
PEMDAS - Parentheses, Exponents, Multiplication, Segmentation, Add-on, Subtraction.
BEDMAS - Brackets, Exponents, Division, Multiplication, Improver, Subtraction
BODMAS - Brackets, Of or Lodge, Sectionalisation, Multiplication, Addition, Subtraction.
GEMDAS - Grouping Symbols - brackets (){}, Exponents, Multiplication, Division, Add-on, Subtraction.
MDAS - Multiplication and Sectionalization have the aforementioned precedence over Addition and Subtraction. The MDAS rule is the order of operations role of the PEMDAS rule.
Be careful; e'er practise multiplication and sectionalisation before improver and subtraction. Some operators (+ and -) and (* and /) have the same priority and must evaluate from left to right.

Fractions in word problems:

  • Fraction and a decimal
    Write every bit a fraction and a decimal. One and two plus three and five hundredths
  • A quarter
    A quarter of the number 72 is:
  • A visitor
    A company has 860 employees, of which 500 are female. Write a fraction to represent the female employees in the company.
  • Value of Z
    For x = -9, what is the value of Z, where Z equals fraction numerator 10 minus 17 over denominator 6.5 end fraction Requite your respond to two decimal places.
  • Max has 2
    Max has 13 pairs of socks. From this, six pairs are blueish, 3 pairs are brown, two are black, and two are white. What fraction of Max's socks are either dark-brown or blackness?
  • Mathew
    Mathew has eight pencils. Three of them do not have erasers on stop. What fraction of the pencils do not accept erasers on end?
  • Using coin
    Out of 550,000.00 given to a school, an amount of 325,000.00 was used. What fraction of the total corporeality was used?
  • Andy gets
    Andy gets five out of 15 questions wrong in his math test. What fraction of the question does andy respond correctly?
  • Fraction to decimal
    Write the fraction 3/22 as a decimal.
  • A farm 6
    A farm has twenty animals. There are four chickens. What fraction of the animals are chickens? Limited your answer as a fraction in the simplest grade.
  • Marry
    Ally had 1 i/two dozen eggs in the refrigerator. She used one/3 of the eggs. What part of the eggs was used?

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