Lance spend 1/4of his money on a food and another 3/10 of his money on a drink. What fraction of his money did he spend in total?
Just simply add the fractions up together: 1/4+3/10
This can also be represented as 5/20+6/20 as they are equivalent fractions which makes 11/20.
To find out what fraction of his money Lance spent in total, we need to add the fractions of money he spent on food and drink.
Lance spent 1/4 of his money on food. This means he has 4 equal parts, and he spent 1 of those parts on food.
Lance also spent 3/10 of his money on a drink. This means he has 10 equal parts, and he spent 3 of those parts on a drink.
To add these fractions, we need a common denominator. In this case, we can use 20 as the common denominator because both 4 and 10 can be evenly multiplied to reach it.
Now, let's convert the fractions to have a denominator of 20:
1/4 = (1/4) x (5/5) = 5/20
3/10 = (3/10) x (2/2) = 6/20
Now we can add the fractions:
5/20 + 6/20 = 11/20
Therefore, Lance spent 11 parts out of 20 parts of his money in total. So, the fraction of his money that he spent is 11/20.