Answer:
Step-by-step explanation:
sum the parts of the ratio, 4 + 5 = 9 parts
Divide the amount by 9 to find the value of one part of the ratio
£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus
4 parts = 4 × £60 = £240 ← Alvin's share
5 parts = 5 × £60 = £300 ← Simon's share
× £240 = £120
× £300 = £30
Theo receives £120 + £30 = £150 , which as a fraction is
( divide numerator/ denominator by 30 )
= ← in simplest form
Answer:
Step-by-step explanation:
The main goal in any equation is to get the unknown variable all by itself. In this case that means moving the fraction of 7/8 over to the other side of the equals sign. On the left, the fraction is being subtracted; that means that to move it to the other side, we add it since adding is the opposite of subtracting.
On the left side, if you have 7/8 and then take that 7/8 away, it's gone completely. What we have now is
We need a common denominator so we can add 4 (which is 4/1) to 7/8. 8 is the common denominator.
and
giving us