SOLUTION: Explain why 4×3/5=(4×3)/5=12/5 and how would you draw a pic?

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Explain why 4×3/5=(4×3)/5=12/5 and how would you draw a pic?       Log On


   

Question 713342: Explain why 4×3/5=(4×3)/5=12/5 and how would you draw a pic?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
It follows the meaning of multiplication.

4x%283%2F5%29=%283%2F5%29%2B%283%2F5%29%2B%283%2F5%29%2B%283%2F5%29, and because the denominators are all 5,
=%283%2B3%2B3%2B3%29%2F5, and again using the meaning of multiplication, we can express as:
4x3%2F5


In slightly more advanced levels of Arithmetic, we do not use an "x" to indicate the multiplication operator. We may rather use a mid-level dot this way:
4%2A3%2F5, the 4%2A3 being 4 multiplied by 3. Another common alternative is the put each regular number into separate grouping symbols. %283%29%284%29 would mean, 3 multiplied by 4.