Question

what is the ratio of 9 inches to 2 feet?​

Answer 1

Answer:

3:8

Step-by-step explanation:

Convert to the same units, then the units can be dropped and the ratio simplified:

1 feet = 12 inches

→ 9 in : 2 feet

= 9 in : 2 × 12 in

= 9 : 2 × 12

= 3 × 3 : 2 × 4 × 3

= 3 : 2 × 4

= 3 : 8

Answer 2

The ratio of 9 inches to 2 feet is 3 : 8

Given :

The quantities 9 inches and 2 feet

To find :

The ratio of 9 inches and 2 feet

Concept :

Ratio : Ratio means comparing of two quantities

The ratio of a number a to another number b ( where b ≠ 0) is a fraction a/b and it is written a : b , the first term a is called antecedent and the second term is called consequent

Solution :

Step 1 of 3 :

Write down the given quantities

The quantities are 9 inches and 2 feet

Step 2 of 3 :

Express them with same unit

The given quantities are of different unit

We express them with same unit

1 feet = 12 inches

∴ 2 feet = 2 × 12 inches = 24 inches

Step 3 of 3 :

Find the ratio

Hence the required ratio

= The ratio of 9 inches and 2 feet

= The ratio of 9 inches and 24 inches

= 9 : 24

$\displaystyle \sf{ = \frac{9}{24} }$

$\displaystyle \sf{ = \frac{9 \div 3}{24 \div 3} }$

$\displaystyle \sf{ = \frac{3}{8} }$

= 3 : 8

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