Jason measured rainfall for a science project. Last week it rained 3 1/8 inches in all. This week it rained 1 7/8 inches in one day and 2 3/4 inches on another. How many more inches did it rain this week then last week? Please explain how you got your anwser

What is 1 7/8 + 2 3/4 - 3 1/8 ?

1 7/8 + 2 6/8 - 3 1/8 = ?

To find out how many more inches it rained this week than last week, we need to calculate the total rainfall for each week and then compare the results.

Last week's rainfall: 3 1/8 inches
This week's rainfall: 1 7/8 inches + 2 3/4 inches

To add fractions with unlike denominators, we need to find a common denominator. In this case, the common denominator is 8.

Converting the fractions to have a denominator of 8:
3 1/8 inches = 3 * 8/8 + 1/8 = 24/8 + 1/8 = 25/8 inches
1 7/8 inches = 1 * 8/8 + 7/8 = 8/8 + 7/8 = 15/8 inches
2 3/4 inches = 2 * 8/8 + 3/4 = 16/8 + 3/4 = 19/8 inches

Now, we can add the fractions:
1 7/8 inches + 2 3/4 inches = 15/8 inches + 19/8 inches = 34/8 inches

Simplifying the fraction:
34/8 inches = 4 2/8 inches = 4 1/4 inches

Now, to find the difference in rainfall between the two weeks, we subtract last week's rainfall from this week's rainfall:
This week's rainfall - Last week's rainfall = 4 1/4 inches - 3 1/8 inches

To subtract fractions with unlike denominators, we also need to find a common denominator. In this case, the common denominator is 8.

Converting the fractions to have a denominator of 8:
4 1/4 inches = 4 * 8/8 + 1/4 = 32/8 + 1/4 = 33/8 inches
3 1/8 inches = 3 * 8/8 + 1/8 = 24/8 + 1/8 = 25/8 inches

Now, we can subtract the fractions:
4 1/4 inches - 3 1/8 inches = 33/8 inches - 25/8 inches = 8/8 inches

Simplifying the fraction:
8/8 inches = 1 inch

Therefore, it rained 1 inch more this week than last week.