Calculator dividing Fractions
The calculator performs basic and advanced operations with fractions, expressions with fractions combined with integers, decimals, and mixed numbers. It also shows detailed step-by-step information about the fraction calculation procedure. Solve problems with two, three, or more fractions and numbers in one expression.
1/2 : 3/4 = 2/3 ≅ 0.6666667
Spelled result in words is two thirds.How do you solve fractions step by step?
- Divide: 1/2 : 3/4 = 1/2 · 4/3 = 1 · 4/2 · 3 = 4/6 = 2 · 2 /2 · 3 = 2/3
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 3/4 is 4/3) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step, , cancel by a common factor of 2 gives 2/3.
In words - one half divided by three quarters = two thirds.
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 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 the 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.
The 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
The calculator follows well-known rules for 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.
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:
- Ten fractions
Write ten fractions between 1/3 and 2/3 - Fractions 4
How many 2/3s are in 6? - Chestnuts
Three divisions of nature protectors participated in the collection of chestnut trees.1. the division harvested 1250 kg, the 2nd division by a fifth more than the 1st division and the 3rd division by a sixth more than the second division. How many tons of - Product of two fractions
Product of two fractions is 9 3/5 . If one of the fraction is 9 3/7. Find the other fraction. - Numbers division
With what number should be divided mixed number 2 3/4 to get 11/12? - Equivalent fractions 2
Write the equivalent multiplication expression. 2 1/6÷3/4 - Two divided
Two divided by nine-tenths. - Milimeters
How many millimeters are 1/4 meters? - Container
How many three-quarters liters jar fill 30 liters container? - Find the 11
Find the quotient of 229.12 and 12.32 - Minutes
Write as fraction in basic form which part of the week is 980 minutes. - Reciprocal
Calculate the reciprocal numbers for the given real numbers. - Women
In a company of 1050 employees are 2/3 women. How many women work in the company?
next math problems »