Result:

1 2/3 : 4 3/8 = 8210.3809524

Spelled result in words is eight twenty-firsts.

Calculation steps

  1. Conversion a mixed number to a improper fraction: 1 2/3 = 1 23 = 1 · 3 + 23 = 3 + 23 = 53

    To find new numerator:
    a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 33 = 33
    b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
    c) Write previous answer (new numerator 5) over the denominator 3.
  2. Conversion a mixed number to a improper fraction: 4 3/8 = 4 38 = 4 · 8 + 38 = 32 + 38 = 358

    To find new numerator:
    a) Multiply the whole number 4 by the denominator 8. Whole number 4 equally 4 * 88 = 328
    b) Add the answer from previous step 32 to the numerator 3. New numerator is 32 + 3 = 35
    c) Write previous answer (new numerator 35) over the denominator 8.
  3. Divide: 53 : 358 = 53 · 835 = 5 · 83 · 35 = 40105 = 5 · 85 · 21 = 821
    To divide one fraction by another, invert (turn upside-down) the second fraction, then multiply. Cancelling by a common factor of 5 gives 821.
    In words - five thirds divided by thirty-five eighths = eight twenty-firsts.

Calculate the next expression:



The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. Also shows detailed step-by-step information about fraction calculation procedure. Solve problems with two, three or more fractions and numbers in one expression.




Rules for expressions with fractions:

Fractions - use the slash “/” between the numerator and denominator, i.e. for five-hundredths enter 5/100. If you are using mixed numbers be sure to leave a single space between the whole number and fraction part.
The slash separates the numerator (number above a fraction line) and denominator (number below).

Mixed numerals (mixed fractions or mixed numbers) write as non-zero integer separated by one space and fraction i.e., 1 2/3 (having the same sign). An example of a negative mixed fraction: -5 1/2.
Because slash is both signs for fraction line and division, we recommended use colon (:) as operator of division fractions i.e., 1/2 : 3.

Decimals (decimal numbers) enter with a decimal point . and they are automatically converted to fractions - i.e. 1.45.

Colon : and slash / is the symbol of division. Can be used to divide mixed numbers 1 2/3 : 4 3/8 or can be used for write complex fractions i.e. 1/2 : 1/3.
An asterisk * or × is the symbol for multiplication.
Plus + is addition, minus sign - is subtraction and ()[] is mathematical parentheses.
The exponentiation/power symbol is ^ - for example: (7/8-4/5)^2 = (7/8-4/5)2

Examples:

addition of fractions: 2/4 + 3/4
adds proper and improper fractions: 4/6+1/8
adding fractions and mixed numbers: 8/5 + 6 2/7
subtraction fractions: 2/3 - 1/2
multiplying a fraction by another fraction - multiplication: 7/8 * 3/9
division of fractions: 1/2 : 3:4
complex fractions: 5/8 : 2 2/3
what is: 1/12 divided by 1/4
converting a decimal to a fraction: 0.125 as a fraction
comparing fractions: 1/4 2/3
multiplying a fraction by a whole number: 6 * 3/4
dividing integer and fraction: 5/5 ÷ 1/2
exponentiation of fraction: 3/5^3
fractional exponents: 16 ^ 1/2
square root of a fraction: sqrt(1/16)
reducing or simplifying the fraction (simplification) - dividing the numerator and denominator of a fraction by the same non-zero number - equivalent fraction: 4/22
mixed numbers and decimals: 1.5 - 1 1/5
subtracting mixed number and fraction: 1 3/5 - 5/6
operations with mixed fractions: 8 1/5 + 9 1/2
expression with brackets: 1/3 * (1/2 - 3 3/8)
convert a fraction to a percentage: 3/8 %
conversion between fractions and decimals: 5/8
compound fraction: 3/4 of 5/7
fractions multiple: 2/3 of 3/5
divide to find the quotient: 3/5 ÷ 2/3
viral Japanese fraction problem (order of operations with fractions) : 9 - 3 ÷ 1/3 + 1

Calculator follows well-known rules for order of operations. 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.
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.