State true or false: If m is a common divisor of a and b, then a b = a÷m b÷m . - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

A
True
B
False

Solution:

It is given that m is a common divisor of a and b.
Then we can express this mathematically as

a ÷ m

and

b ÷ m

.
Now, we will divide these two expressions and simplify as follows,

a ÷ m b ÷ m = a m b m a ÷ m b ÷ m = a × m b × m a ÷ m b ÷ m = a b

So, we observe that the final result obtained is the same as mentioned in the statement.
Hence, the given statement is true.
Hence, the correct option is (1).

State true or false:

If m is a common divisor of a and b, then $a b = a ÷ m b ÷ m$ .

Solution:

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