A man budgets 2/5 of his pay on food and 2/7 on meat.What fraction of his pay is left ?

To find out the fraction of the man's pay that is left after budgeting for food and meat, we need to subtract the fractions budgeted from the whole amount, which can be represented as 1.

The fraction budgeted for food is 2/5, and the fraction budgeted for meat is 2/7.

To find the fraction remaining, we subtract the sum of these two fractions from 1:

1 - (2/5 + 2/7)

To add these fractions, we need to find a common denominator:

1 - (14/35 + 10/35)

Now that the fractions have a common denominator, we can combine them:

1 - (24/35)

To subtract fractions, we need a common denominator:

35/35 - 24/35

Now we can subtract:

11/35

Therefore, the fraction of his pay that is left is 11/35.

To find the fraction of the man's pay that is left after budgeting for food and meat, we need to subtract the amounts spent on food and meat from the whole amount of his pay.

Let's assume the man's pay is represented by the fraction 1. Therefore, 1 represents the whole amount of his pay.

Given that he budgets 2/5 of his pay on food and 2/7 on meat, we can calculate the fraction that remains by subtracting the sum of 2/5 and 2/7 from 1.

Step 1: Find the common denominator for 5 and 7, which is 35.
Step 2: Convert 2/5 and 2/7 to fractions with the common denominator of 35.
2/5 = (2/5) x (7/7) = 14/35
2/7 = (2/7) x (5/5) = 10/35

Step 3: Subtract the sum of 14/35 (food) and 10/35 (meat) from 1.
1 - (14/35 + 10/35)
1 - (24/35)
= (35/35) - (24/35)
= 11/35

Therefore, the fraction of the man's pay that is left after budgeting for food and meat is 11/35.

Get a common denominator of 35

2/5 times 7/7 = 14/35
2/7 times 5/5 = 10/35

He uses 24/35 what is left.. subtract from 1 or 35/35