Question

How do you convert $1\,\,1/4$ gallons to litres?

Answer 1

Hint: We will convert the given mixed number into fraction. Now if the percentage doesn’t turn out to be a whole number, we will try to convert that number to decimal by multiplying or dividing the number by $10$.

Complete step by step solution:
We know that $1$ imperial gallon $ = 4.5461\,litres$.
Now we can also write $\dfrac{1}{4}gallon = \dfrac{{4.5461}}{4}\,litres$.
Now if we simplify further, the equation will become,
$\dfrac{1}{4}gallon = 1.136525litres$.
Here the given number is $1\,\,1/4$ so we evaluate the value accordingly. But first we will
convert the mixed fraction to proper fraction by using the rules step by step.
$
= 1\dfrac{1}{4} \\
= \dfrac{{4 \times 1 + 1}}{4} \\
= \dfrac{5}{4} \\
$
Now use this value in our previous equation.
$
1\dfrac{1}{4}gallon = 4.5461 + 1.136525litres \\
1\dfrac{1}{4}gallon = 5.68265litres \\
1\dfrac{1}{4}gallon = 5.68litres \\
$
Hence, $1\,\,1/4$ gallons in litres is $5.68\,litres$.

Additional Information: The ratio of the two numbers is called a fraction. A whole number and a fraction combined into one mixed number. We can also say that it is a form of a fraction which is defined as the ones having a fraction and a whole number. When it comes to adding mixed fractions or improper fractions we can have either the same denominators for both the fractions to be added or the denominators can differ too.

Note: While converting a mixed fraction into fraction, make sure you evaluate all the terms properly and then only multiply by $10$ to the numerator as well as denominator. Also remember that $\dfrac{1}{4}gallon = \dfrac{{4.5461}}{4}\,litres$. Before applying any operations such as addition, subtraction, multiplication, etc, always change the given mixed fraction to improper fractions. Do all the calculations precisely.