Dividing fraction decimal
Introduction :
As division of whole numbers shows how often one integer is contained in another integer, to division of fraction shows how often one fraction is contained in another. If the numerator of any fraction be made a denominator, and the denominator a numerator, the fraction of made is called the reciprocal of the former. Thus `4 / 3 ` is the reciprocal of `3 / 4` .In division * as the divisor is to the dividend, of is a unit of the quotient (both in whole numbers and fraction).
Decimal fractions are commonly expressed without a denominator, the decimal separator being inserted into the numerator (with leading zeros added if needed), at the position from the right corresponding to the power of ten of the denominator. e.g., `8/10` , `83/100` and are expressed as: 0.8, 0.83(Source: Wikipedia)
Dividing fractions decimal – Steps and methods:
To dividing algebraic fraction, follow these steps:
Dividing fractions decimal – Three methods and example problems:
Dividing common fractions:
To divide common fraction, follow these steps:
Find the dividing fraction decimal
(`7 / 6` ) / (`2 / 3` )
Solution:
(`7 / 6) ` / (`2 / 3` ) (divisor)
= (`7 /6)` * (`3 / 2)`
= (7 * 3) / (6 * 2)
= `21 / 12`
= `7 / 4`
= 1.75
Dividing fraction decimal and a whole number:
To divide a fraction and a whole number, follow these steps:
Find the dividing fraction decimal
14 / (`5 / 7` )
Solution:
14 / (`5 / 7` )
= (`14 / 1` ) / (`5 / 7` )
= (`14 / 1` ) * (`7 / 5` )
= (14 * 7) / (1 * 5)
= `98 / 5`
= 19.6
Dividing mixed number fractions:
To divide mixed numbers, follow these steps:
Find the dividing fraction decimal
(3 `2/5` ) / (`3 / 2` )
Solution:
(3 `2/5` ) / (`3 / 2)`
= (3 `2/5` ) = `((3 * 5 + 2) / 5)` = `17 / 5`
= (`17 / 5` ) / (`3 / 2` )
= (`17 / 5` ) * (`2 / 3` )
= (17 * 2) / (5 * 3)
= (`34 / 15` )
= 2.266
Between, if you have problem on these topics simplify fractions online, please browse expert math related websites for more help on Decimal to Fraction and different math topic.
As division of whole numbers shows how often one integer is contained in another integer, to division of fraction shows how often one fraction is contained in another. If the numerator of any fraction be made a denominator, and the denominator a numerator, the fraction of made is called the reciprocal of the former. Thus `4 / 3 ` is the reciprocal of `3 / 4` .In division * as the divisor is to the dividend, of is a unit of the quotient (both in whole numbers and fraction).
Decimal fractions are commonly expressed without a denominator, the decimal separator being inserted into the numerator (with leading zeros added if needed), at the position from the right corresponding to the power of ten of the denominator. e.g., `8/10` , `83/100` and are expressed as: 0.8, 0.83(Source: Wikipedia)
Dividing fractions decimal – Steps and methods:
To dividing algebraic fraction, follow these steps:
- Write the given fractions.
- Change the division sign to a multiplication sign and reverse the second fraction.
- Write the specified fraction and cancel any common factors.
- Multiply the numerators.
- Multiply the denominators.
- After dividing the fraction and we will get final answer in decimal value.
- Dividing common fraction
- Dividing a fraction and a whole number
- Dividing mixed number
Dividing fractions decimal – Three methods and example problems:
Dividing common fractions:
To divide common fraction, follow these steps:
- Invert the divisor.
- Then multiply the numerator with the numerator and the denominator with the denominator.
- Reduce to lowest terms if possible.
- After dividing the fraction
- We will get answer in decimal value
Find the dividing fraction decimal
(`7 / 6` ) / (`2 / 3` )
Solution:
(`7 / 6) ` / (`2 / 3` ) (divisor)
= (`7 /6)` * (`3 / 2)`
= (7 * 3) / (6 * 2)
= `21 / 12`
= `7 / 4`
= 1.75
Dividing fraction decimal and a whole number:
To divide a fraction and a whole number, follow these steps:
- Change the whole number to a fraction by the placing the whole number over one.
- Invert the divisor.
- Then multiply the numerator by the numerator and the denominator by the denominator.
- Reduce to lowest terms if possible.
- After dividing the fraction
- We will get answer in decimal value
Find the dividing fraction decimal
14 / (`5 / 7` )
Solution:
14 / (`5 / 7` )
= (`14 / 1` ) / (`5 / 7` )
= (`14 / 1` ) * (`7 / 5` )
= (14 * 7) / (1 * 5)
= `98 / 5`
= 19.6
Dividing mixed number fractions:
To divide mixed numbers, follow these steps:
- Change the mixed number to an improper fraction
- Invert the divisor.
- Then multiply the numerator by the numerator and the denominator by the denominator.
- Reduce to lowest terms if possible.
- After dividing the fraction
- We will get answer in decimal value
Find the dividing fraction decimal
(3 `2/5` ) / (`3 / 2` )
Solution:
(3 `2/5` ) / (`3 / 2)`
= (3 `2/5` ) = `((3 * 5 + 2) / 5)` = `17 / 5`
= (`17 / 5` ) / (`3 / 2` )
= (`17 / 5` ) * (`2 / 3` )
= (17 * 2) / (5 * 3)
= (`34 / 15` )
= 2.266
Between, if you have problem on these topics simplify fractions online, please browse expert math related websites for more help on Decimal to Fraction and different math topic.