Question

-1целых 3/7-1/42целых1/3-3целых4/9

Answer 1

-1 3/7-1/4=-10/7-1/4=-40/28-7/28=-47/28=-1 19/28
2 1/3-3 4/9=7/3-31/9=21/9-31/9=10/9=1 1/9

Answer 2

To solve this expression, we need to perform the subtraction of the given mixed fractions. First, let's convert all the mixed fractions into improper fractions:

1. Convert -1 3/7 to an improper fraction: -1 3/7 = -(7 + 3)/7 = -10/7

2. Convert 1/42 to an improper fraction: 1/42 = 1/(6*7) = 1/42

3. Convert 1/3 to an improper fraction: 1/3 = 1/(3*1) = 1/3

4. Convert 3 4/9 to an improper fraction: 3 4/9 = 3 + 4/9 = (27 + 4)/9 = 31/9

Now, we can subtract the fractions:

-10/7 - 1/42 - 1/3 - 31/9

To subtract fractions, we need a common denominator. The least common multiple (LCM) of 7, 42, 3, and 9 is 126:

• (10 * 18) / 126 - (1 * 3) / 126 - (42 * 2) / 126 - (14 * 9) / 126

Now, we have a common denominator, and we can simplify the expression:

• 180/126 - 3/126 - 84/126 - 126/126

Now, add all the numerators:

= (-180 - 3 - 84 - 126) / 126

= (-393) / 126

Now, the fraction is still improper, and we can express it as a mixed fraction:

= -3 39/126

To simplify the mixed fraction further, we can reduce the fraction:

= -3 13/42

So, the simplified result of the expression is -3 13/42.