It helps immensely if you know your times tables.
a) 36 = 6*6 = 2*3*2*3 = 2^2*3^2
b) 45 = 5*9 = 5*3*3 = 3^2*5
c) 2 is not a common factor; 3^2 is a common factor; 5 is not a common factor. The greatest common factor is 3^2 = 9.
d) The least common multiple can be found a couple of ways.
.. 1) the product of the distinct factors to their highest powers
.. .. .. 2^2 * 3^2 * 5 = 180
.. 2) the product of the numbers divided by their greatest common factor.
.. .. .. 36 * 45 / 9 = 180
Answer: 373/50
Step-by-step explanation:
Step 1: convert to a fraction
746% = 746 ÷ 100 = 7.46
7.46 = 373/50
Step 2: Write the number as a fraction of one: 7.46 = 746/100
Step 3: use a common divisor of 2 to reduce the numbers, we have
(746÷2)= 373
(100÷2)=50
when reduced to the simplest form= 373/50
Therefore, 746/ 100 = 373/50 when expressed as a mixed number.
5y+2x-3=0
5y=-2x+3
y=-2/5 x+3
Sope intercept of the line is y=-2/5 x+ 3/5.
The intercept is 3/5.
Check: x=0 when y=3/5
5y+2x-3=0
5(3/5)+2x-3
3+2x-3=0
2x=0
x=0
Correct
The answer is 3/5.
