Answer:
b=15
Step-by-step explanation:
First of all, let's change those mixed numbers to improper fractions to make this a little easier.
1 7/9 = (1*9 + 7)/9 = 16/9
6 2/3 = (6*3 + 2)/3 = 20/3
Now we can also change the decimals to fractions.
4.8 = 4 8/10 = 48/10 = 24/5
1.2 = 1 2/10 = 12/10 = 6/5
Now we rewrite the entire thing to get:
(24/5)/(16/9)=(6/5)(b)/(20/3)
Rewrite the fraction division as multiplying by the reciprocal and you have:
(24/5)*(9/16)=(6/5)*b*(3/20)
Multiply the fractions and simplify.
54/20=(9/50)*b
Divide by 9/50 on both sides (which is the same as multiplying by 50/9).
(54/20)*(50/9)=b
Simplify to get:
b=15
It should be way easier if you have a calculator; divide 4.8 by 1 and 7/9, then multiply by 6 and 2/3, and finally, divide by 1.2.
