Question

Find the value of x and show your work

Answer 1

x = 10

Explanation:

2.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 10 as the denominator :

7x 7x • 10

7x = —— = ———————

1 10

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

7x • 10 + 1 70x + 1

——————————— = ———————

10 10

Final result :

70x + 1

———————

10

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