Simplifying Ratio

Simplifying Ratio

1. 12:21:33

   • divide by 3
     • 4:7:11

2. Example

3. Example

4. 21:49:84

   • divide by 7
     • 3:7:12

5. Working out ratio in the calculator

   • Example
     • For the ratio 8:12, enter it into the fraction option, so will get 8/12, press equals and you should get the answer of 2/3, change it back tot the ratio 2:3

6. If the ratio contains a decimal or fraction

   • Example
     • "Simplify the ratio 2.4:3.6"
       • Multiply both ratios by 10 to get rid of the decimal
         • (x10) 2.4:3.6 (x10) 24:36 then divide too put the ratio into the simplest form

7. "Mortar is made from mixing sand and cement in the ratio 7:2 / how many of buckets will be made if 21 buckets of sand are used."

   • (x3)7:2(x3) 21:6
     • You need to multiply by 3 to go from 7 to 21
       • 21 buckets of sand : 6 buckets of cement
         • Amount of mortar made = 21 + 6 = 27 buckets

8. Jess, Mo and Greg share £9100 in the ratio 2:4:7. How much does mo get?

   • Step 1 = add up the ratio (2:4:7 = 13)
     • Step 2 = Divide to find one (divide the total amount by the number of parts)
       • Step 3 = Multiply to find the amounts ( Mo's share is 4 parts)
   • 2 + 4 + 7 = 13 parts £9100 divide by 13 = £700 (1 Part) 4 parts = 4 x £700 = £2800