Compare quantities using ratios, check whether ratios form a proportion, and split amounts fairly according to a given ratio.
A ratio compares two quantities of the same kind. It's written as a:b, and can be simplified by dividing both parts by their common factor, just like a fraction.
Simplify the ratio 18:24.
Divide both by 6 → 3:4
A class has 15 boys and 20 girls. What is the ratio of boys to girls in simplest form?
15:20 = 3:4
To split an amount in a given ratio, add the parts of the ratio to find the total number of shares, then divide the amount by that total to find the value of one share.
Share ₹600 between A and B in the ratio 2:3.
Total parts = 5, one part = ₹120, so A gets ₹240 and B gets ₹360
Divide 45 sweets between two children in the ratio 4:5.
Total parts = 9, one part = 5 sweets, so they get 20 and 25 sweets
1. Simplify the ratio 32:48.
2. A recipe uses flour and sugar in the ratio 5:2. If there's 250g of flour, how much sugar is needed?
3. Share ₹900 between two friends in the ratio 4:5.
4. Divide 60 marbles among three children in the ratio 1:2:3.
5. Are 4:6 and 10:15 equivalent ratios?