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Convert ratios to decimal form
Convert any ratio to its decimal equivalent by dividing the first part by the second part.
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A ratio a:b can be expressed as a decimal by dividing a by b. This gives you the value of the ratio as a single number, making it easier to compare with other values or use in calculations.
To convert ratio a:b to a decimal, simply divide a by b. For example, 3:4 becomes 3÷4 = 0.75. This gives you the value of the first part relative to the second part.
The decimal shows how many times larger or smaller the first part is compared to the second. If 3:4 = 0.75, it means the first part is 0.75 (or 75%) of the second part.
Yes! If the first part is larger than the second, the decimal will be greater than 1. For example, 5:2 = 2.5, meaning the first part is 2.5 times the second part.
The reciprocal is the ratio reversed. If a:b = 0.75, then b:a = 1.333 (approximately). The reciprocal of 3:4 is 4:3.
Write the decimal as a fraction, then simplify. For 0.75, write as 75/100, simplify to 3/4, then express as ratio 3:4.
Decimals are easier to compare and use in calculations. They're useful in science, engineering, finance, and statistics where precise numeric values are needed.
Three-part ratios need multiple decimals. For a:b:c, you could express as a/b, a/c, and b/c, or express each as a fraction of the total (a+b+c).
Some ratios create repeating decimals, like 1:3 = 0.333... This is normal and indicates the decimal continues infinitely. Round to a practical number of decimal places.