Question

6 X ________ = 1/6 X 6 = 1 *​

Answer 1

Step by step solution :

STEP

1

:

x

Simplify —

6

Equation at the end of step

1

:

1 1 x

((— - x) + —) - — = 0

6 7 6

STEP

2

:

1

Simplify —

7

Equation at the end of step

2

:

1 1 x

((— - x) + —) - — = 0

6 7 6

STEP

3

:

1

Simplify —

6

Equation at the end of step

3

:

1 1 x

((— - x) + —) - — = 0

6 7 6

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 6 as the denominator :

x x • 6

x = — = —————

1 6

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 :

4.2 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:

1 - (x • 6) 1 - 6x

——————————— = ——————

6 6

Equation at the end of step

4

:

(1 - 6x) 1 x

(———————— + —) - — = 0

6 7 6

STEP

5

:

Calculating the Least Common Multiple

5.1 Find the Least Common Multiple

The left denominator is : 6

The right denominator is : 7