# Ratio & Proportion - Calculator

Simplify Ratio for
Simplified Ratio  =  2 : 1
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GENERATE WORK

## Ratio & Proportion - work with steps

Input Data :
Given Ratio = 6:3

Objective :
Find what is the simplified ratio for given ratio ?

Formula :
Simplified Ratio = frac{A}{GCD(A & B)} : frac{B}{GCD(A & B)}
Simplified Ratio = frac{A}{GCD(A, B & C)} : frac{B}{GCD(A, B & C)} : frac{C}{GCD(A, B & C)}

Solution :
gcd(6, 3) = 3
Simplified Ratio = 6/3 : 3/3
Simplified Ratio = 2 : 1

Ratio calculator to find the proportion or correlation between the numbers or quantity. The ratio is applicable to all physical quantities, finance & numbers such as amount of sharing, investment, profit, loss, time taken, time, work, distance, speed etc.

Ratio & Proportion Example :

The below solved example calculation shows how to find the ratio & proportion between numbers & physical quantities.
In such scenarios, the ratio calculation comes to play to find out corresponding profit shares based on the investment proportion. Therefore calculate the ratio for the investment.

Example :
Ratio & proportion between numbers & physical quantities.

Example Question :
Three persons A, B & C started a business by investing 5000, 7000 & 6000 Dollars respectively. At the end of the same year they earned the profit of $18000. What are their profit share based on their investment proportion? Answer : A = 5000 : B = 7000 : C = 6000 It can be simplified as 5 : 7 : 6 (investment ratio) To find the profit sharing for each person find the sum of all ratio 5 + 7 + 6 = 18 from 18000 dollars, find the profit for A = 5/18 x 18000 = 5000 5000 dollar is the profit share for A from 18000 dollars, find the profit for B = 7/18 x 18000 = 7000 7000 dollars is the profit share for B from 18000 dollars, find the profit for C = 6/18 x 18000 = 6000 6000 dollar is the profit share for C To verify the result sum up all the profit share should bring total profit$18000 or use this ratio calculator. Refer the below table for example input & output of ratio calculator.

Percent to Ratio
Decimal formPercent formRatio
0.022%1:50
0.044%1:25
0.055%1:20
0.066%3:50
0.088%2:25
0.110%1:10
0.1212%3:25
0.1414%7:50
0.1515%3:20
0.1616%4:25
0.1818%9:50
0.220%1:5
0.2222%11:50
0.2424%6:25
0.2525%1:4
0.2626%13:50
0.2828%7:25
0.330%3:10
0.3232%8:25
0.3434%17:50
0.3535%7:20
0.3636%9:25
0.3838%19:50
0.440%2:5
0.4242%21:50
0.4444%11:25
0.4545%9:20
0.4646%23:50
0.4848%12:25
0.550%1:2
0.5252%13:25
0.5454%27:50
0.5555%11:20
0.5656%14:25
0.5858%29:50
0.660%3:5
0.6262%31:50
0.6464%16:25
0.6565%13:20
0.6666%33:50
0.6868%17:25
0.770%7:10
0.7272%18:25
0.7474%37:50
0.7575%3:4
0.7676%19:25
0.7878%39:50
0.880%4:5
0.8282%41:50
0.8484%21:25
0.8585%17:20
0.8686%43:50
0.8888%22:25
0.990%9:10
0.9292%23:25
0.9494%47:50
0.9595%19:20
0.9696%24:25
0.9898%49:50