Question

What is the Vulgar fraction?

Answer 1

Hint: Any number is the Vulgar fraction which is expressed in the form of one integer above and one integer downward separated by “ / ” which is commonly known as ‘divide’ or ‘by’.
Complete step-by-step answer:
A vulgar fraction, common fraction or fraction is a fraction written in the usual way which is one number (integer) above another (integer) separated by a line. Examples of Vulgar fractions are \[\dfrac{{21}}{{40}},\dfrac{{19}}{{55}},\dfrac{{70}}{{21}},\dfrac{{88}}{{56}},\dfrac{{41}}{{93}},.....etc\] Mathematically a vulgar fraction is a part of unity or several equal parts of unity. The number which indicates how many parts a unit is divided into is called the denominator of the fraction; the number indicating how many parts are taken is the numerator of the fraction. In the examples \[21,19,70\] are the numerators and \[40,55,21\] are the denominators. If the numerator is less than the denominator, the fraction is less than unity and is called a proper fraction. Here \[\dfrac{{21}}{{40}},\dfrac{{19}}{{55}},\dfrac{{41}}{{93}}\] are proper fractions and the rest are improper fractions.

Note: The value of a vulgar fraction is unchanged if the numerator and denominator are multiplied or divided by one and the same number. A fraction can only be reduced if the numerator and denominator have the same divisors. If the denominators of the fractions are the same, the fractions may be added by adding their numerators; to subtract them, subtract the numerator of the subtrahend from the numerator of the minuend.To multiply a fraction by a fraction, multiply the numerators together for the numerator of the product and multiply the denominator together for the denominator of the product.To divide a number by a fraction, multiply the number by the reciprocal of the fraction. One must also note zero cannot be in the denominator. As denominators are divisors also and any number cannot be divided by 0 and the same rule goes for irrational numbers for which we have to rationalise the denominator.