873 Math Blog

Today in class, Multiplications of Fractions. I will solve 2 of the problems from our homework.
1.)





















We want 4/5 of 1/2, so we divide 1/2 into 5 equal parts and then take 4 of those equal parts. How many small equal parts from the square been divided? Yes 10 and 4 of these are shaded twice. Thus: 4/5 x 1/2 = 4/10 To write this in the simplest form, we will have 2/5.










Using the same example:




4/5 x 1/2 = 4x1/5x2



= 4/10



The answer is 4/10 and we need to write this in the simplest form. To do this we are going to divide both the numerator and the denominator by the least common factor which is 2.


4/10 ÷ 2/2


the next example is




2.)

















Let's divide 2/3 of the square into 7 equal parts and then take 6 of these equal parts





How many small equal parts been divided?21


and how many small squares have been shaded twice? 12


therefore 6/7 x 2/3=12/21 or 4/7


There is another way to multiply fractions and that is by canceling


example:


6/7 x 2/3=?





We can divide the numerator and the denominator by the factors.


For example 6 and 3,we can divide each of them by 3.