Question

What is the product of 1 4/5 × 2 5/6

Answer 1

`\text{ The product of } 1(4)/(5) * 2(5)/(6) \text{ is }5.1 \text{ or } (51)/(10) \text{ or } 5(1)/(10)`

Solution:

Given that we have to find the product of
`1(4)/(5) * 2(5)/(6)`

Let us first convert the mixed fractions to improper fractions

A Mixed Fraction is a whole number and a proper fraction combined

Steps to convert:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

`1(4)/(5) = ( 5 * 1 + 4)/(5) = (9)/(5)`

`2(5)/(6) = ( 6 * 2 + 5)/(6) = (17)/(6)`

Now multiply both the fractions

`\rightarrow (9)/(5) * (17)/(6) = (17 * 3)/(5 * 2) = (51)/(10)\\\\\rightarrow (51)/(10) = 5.1`

In mixed fractions, we can write as,

`\rightarrow (51)/(10) = 5(1)/(10)`

Thus the product is found