Question

express in simplest form ( 1/10 : 1/15 )​

Answer 1

Answer:

3 : 2

Step-by-step explanation:

1/10 : 1/15

$= \frac{ \frac{1}{10} }{ \frac{1}{15} }$

$= \frac{1}{10} \times \frac{15}{1}$

$= \frac{3 \times 5}{2 \times 5}$

$= \frac{3}{2}$

= 3 : 2

Answer 2

The ratio obtained is 3 : 2.

• Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."
• Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other. Two categories can be used to categorise ratios. Part to whole ratio is one, and part to part ratio is the other. The part-to-part ratio shows the relationship between two separate entities or groupings.

Here, according to the given information, we are given that,

$(\frac{1}{10} : \frac{1}{15})$

This is equal to

$\frac{\frac{1}{10}}{\frac{1}{15}} \\=\frac{15}{10}\\=\frac{3}{2}$

= 3 : 2.

Hence, the ratio obtained is 3 : 2.

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