Because common denominators allow adding and subtracting of numerators. Improper fractions also have simplified rules over mixed numbers when performing multiplication and division.
if you have mixed numbers you make them into improper fractions before you multiply
Multiplying mixed numbers involves first converting the mixed numbers into improper fractions, while multiplying fractions directly uses the fractions in their given form. After conversion, the process for both is the same: multiply the numerators together and the denominators together. The final step when dealing with mixed numbers includes converting the improper fraction back to a mixed number if needed. This added step distinguishes the two processes.
First you change them into improper fractions. Then you multiply the numerator and the denamanator straight across. ;)
To multiply fractions, simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. For mixed numbers, first convert them into improper fractions by multiplying the whole number by the denominator and adding the numerator. After converting, follow the same process of multiplying the numerators and denominators, and simplify the resulting fraction if necessary.
what is dividing fractions and mixed numebers
if you have mixed numbers you make them into improper fractions before you multiply
you have to turn them into improper fractions before you multiply them.
Multiplying mixed numbers involves first converting the mixed numbers into improper fractions, while multiplying fractions directly uses the fractions in their given form. After conversion, the process for both is the same: multiply the numerators together and the denominators together. The final step when dealing with mixed numbers includes converting the improper fraction back to a mixed number if needed. This added step distinguishes the two processes.
First you change them into improper fractions. Then you multiply the numerator and the denamanator straight across. ;)
A mixed number can be converted into an improper fraction. Mixed numbers as improper fractions can be divided just like any other fraction. To convert a mixed number to an improper fraction multiply the whole number by the denominator and add the original numerator to give the new numerator and put this over the original denominator.
To multiply fractions, simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. For mixed numbers, first convert them into improper fractions by multiplying the whole number by the denominator and adding the numerator. After converting, follow the same process of multiplying the numerators and denominators, and simplify the resulting fraction if necessary.
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
what is dividing fractions and mixed numebers
You change the mixed number into an inproper fraction.
Multiplying and dividing integers and rational numbers follow the same fundamental rules. In both cases, the product of two numbers is determined by multiplying their absolute values and applying the appropriate sign rules. Similarly, division involves inverting the divisor and multiplying, maintaining the same sign conventions. Thus, the processes are consistent, with rational numbers simply extending the concept to fractions.
So that you can get your answer more faster and you don't need to do a lot of work
Mixed numbers can be converted to improper fractions. Improper fractions can be added the same way proper fractions are.