write in simplest form
1/10 / 1/4
they way you typed the problem illustrates well why it is so important to use brackets to show the precise order of operation.
I will assume you meant (1/10) ÷ (1/4), if so then it would be
(1/10)(4/1)
=2/5
To simplify the expression (1/10) ÷ (1/4), or in other words, to divide 1/10 by 1/4, we can follow these steps:
Step 1: Remember that division can be rewritten as multiplication by the reciprocal. The reciprocal of a fraction a/b is b/a. So, (1/10) ÷ (1/4) can be rewritten as (1/10) multiplied by (4/1).
Step 2: Multiply the numerators together (1 * 4 = 4) and multiply the denominators together (10 * 1 = 10). This gives us the fraction 4/10.
Step 3: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2. Dividing both the numerator and denominator by 2, we get 4 ÷ 2 / 10 ÷ 2, which simplifies to 2/5.
Therefore, the simplified form of (1/10) ÷ (1/4) is 2/5.