Answer: 7/8
Step-by-step explanation: Notice that 1/2 and 3/8 are unlike fractions. Our first when adding unlike fractions is to get a common denominator.
The common denominator of 2 and 8 will be the least common multiple of 2 and 8 which is 8.
To get an 8 in the denominator of 1/2, we multiply the numerator and the denominator by 4 which gives us 4/8.
Notice that 3/8 already has an 8 in the denominator so we leave it how it is.
Now we are adding like fractions.
To add like fractions, or fractions that have the same denominator, simply add the numerators and keep the original denominator.
So here, if we add the numerators we have 4 + 3 which gives us 7 and we put this over our original denominator which is 8 and we have our answer. Also, notice that 7/8 is in lowest terms so it's our final answer.
This means that 3/8 + 1/2 = 7/8
Answer:
5091 Km/hr and 505 km/hr
Step-by-step explanation:
Speed = Distance / Time
Let the speed of first automobile be 'x' and that of the second be 'y'
Since speed of one is 10 times greater than the other. therefore;
⇒ x = 10 y
also let time for faster automobile be 'T' and time for slower auto mobile be 't'
Since first arrive one hour earlier than second, therefore;
⇒ t = T + 1
⇒ For first automobile;
; substituting for 'x' and 'T'. Therefore;
⇒ 
⇒ For Second automobile;
⇒ 
⇒ 
⇒ 5600 +
= 560
⇒ 5600 - 560 = - 
⇒ t = 1.11 hr
also ; T = 1.11 - 1 = 0.11 hr
Speed of 1st auto = 560/0.11 = 5091 km /hr
Speed of 2nd auto = 560/1.11 = 505 km/hr
If he has completed 3/5 he needs to go (1-3/5 ) 2/5 yet
4000* 2/5 =1600
He needs 1600 points