Question

What is the value of x in the equation 4(7x + 3) = 19? start fraction one over six end fraction start fraction 31 over 28 end fraction start fraction 28 over 31 end fraction start fraction one over four end fraction

Answer 1

The denominators of English fractions are generally expressed as ordinal numbers, in the plural if the numerator is not 1. (For example, 2/5 and 3/5 are both read as a number of "fifths".) Exceptions include the denominator 2, which is always read "half" or "halves", the denominator 4, which may be alternatively expressed as "quarter"/"quarters" or as "fourth"/"fourths", and the denominator 100, which may be alternatively expressed as "hundredth"/"hundredths" or "percent".

Answer 2

Expand the left hand side to get

`28x+12 = 19`

Subtract 12 from both sides:

`28x = 19-12 = 7`

Divide both sides by 28:

`x = (7)/(28) = (1)/(4)`