Question

solve the following equation
2+5/7x=1 1/4​

Answer 1

Answer:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

2+5/7*x-(1/1/4)=0

Step by step solution :

STEP 1:

1

Simplify —

1

Equation at the end of step 1:

5 1

(2 + (— • x)) - — = 0

7 4

STEP 2:

1

Simplify —

4

Equation at the end of step 2:

5 1

(2 + (— • x)) - — = 0

7 4

STEP 3:

5

Simplify —

7

Equation at the end of step 3:

5 1

(2 + (— • x)) - — = 0

7 4

STEP 4:

Rewriting the whole as an Equivalent Fraction

4.1 Adding a fraction to a whole

Rewrite the whole as a fraction using 7 as the denominator :

2 2 • 7

2 = — = —————

1 7

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:

2 • 7 + 5x 5x + 14

—————————— = ———————

7 7

Equation at the end of step 4:

(5x + 14) 1

————————— - — = 0

7 4

STEP 5:

Calculating the Least Common Multiple :

5.1 Find the Least Common Multiple

The left denominator is : 7

The right denominator is : 4