Question

Express 1.875 in the form p/q

Answer 1

If the answer asks for improper fraction it is
`(15)/(8)`

If it asks for simplest form it is
`1(7)/(8)`

Explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

`1.875=(1.875)/(1)`

Multiply to remove 3 decimal places. Here, you multiply top and bottom by
`10^3=1000`

`(1.875)/(1) *(1000)/(1000) =(1875)/(1000)`

Find the Greatest Common Factor (GCF) of 1875 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125

`(1875/125)/(1000/125) =(15)/(8)`

Simplify the improper fraction

`=1(7)/(8)`