Maths-
General
Easy

Question

Solve fraction numerator 4 x over denominator 5 end fraction minus straight x equals x over 10 minus 9 over 2

Hint:

○ Addition and subtraction of fractions.
○ First make denominator equal.
○ Then perform basic operation to get value of x.

The correct answer is: x = 15


    ○ Given:
    Equation fraction numerator 4 x over denominator 5 end fraction minus straight x equals x over 10 minus 9 over 2
    ○ Step 1:
    ○ Make denominator equal:
    fraction numerator 4 x over denominator 5 end fraction minus fraction numerator left parenthesis x right parenthesis times 5 over denominator 5 end fraction equals x over 10 minus fraction numerator left parenthesis 9 right parenthesis times 5 over denominator left parenthesis 2 right parenthesis times 5 end fraction
    not stretchy rightwards double arrow fraction numerator 4 x over denominator 5 end fraction minus fraction numerator 5 x over denominator 5 end fraction equals x over 10 minus 45 over 10
    not stretchy rightwards double arrow fraction numerator 4 x minus 5 x over denominator 5 end fraction equals fraction numerator x minus 45 over denominator 10 end fraction
    ○ Step 2:
    Cross multiply :
    not stretchy rightwards double arrow fraction numerator 4 x minus 5 x over denominator 5 end fraction equals fraction numerator x minus 45 over denominator 10 end fraction
    rightwards double arrow(4x - 5x)  10  = (x - 45)   5
    rightwards double arrow-10x  = 5x - 225
    rightwards double arrow225  = 5x + 10x
    rightwards double arrow225  = 15x
    rightwards double arrowx = 225 over 15
    rightwards double arrowx = 15
    • Final Answer:
    x = 15

    Related Questions to study

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.