Question

Adding opposite signed fractions use the interactive tool to find the sum: negative two-fifths one-half negative one-third negative startfraction 3 over 7 endfraction startfraction 1 over 10 endfraction startfraction 3 over 7 endfraction

Answer 1

The sum of the given fractions is 62/210, which can be simplified to 31/105.

Step-by-step explanation:

When adding or subtracting fractions, you need to have a common denominator. To find a common denominator, you need to identify the least common multiple (LCM) of the denominators. Once you have a common denominator, you can add or subtract the numerators accordingly.

In the given question, the fractions provided are: -2/5, 1/2, -1/3, 3/7, and 1/10. To add these fractions, we need to find a common denominator.

The LCM of 5, 2, 3, 7, and 10 is 210. Therefore, we can rewrite the fractions with the common denominator:

-2/5 = -84/210

1/2 = 105/210

-1/3 = -70/210

3/7 = 90/210

1/10 = 21/210

Adding the numerators, we have: -84 + 105 - 70 + 90 + 21 = 62. Therefore, the sum of the given fractions is 62/210, which can be simplified to 31/105.