Answer:
y=4/7
PREMISES
y=the reciprocal of 1 3/4
CALCULATIONS
The “reciprocal” of a numeral or number is simply the number turned upside down, reversed, or inverted. The sign +/- remains the same. The product of a number and its reciprocal is 1. For example, the rational number a/b has a reciprocal of b/a and (a/b)(b/a)=1. The natural number 4 has the reciprocal 1/4 since 4 is 4/1 as a rational number. Similarly, -1/2.5 is -2.5/1 as a reciprocal. In the case of a mixed number, the reciprocal is the inverse of the improper fraction. For example, the mixed number 3 2/3 is equivalent to the improper fraction 11/3 which has reciprocal 3/11.
In the immediate problem,
y=the reciprocal of 1 3/4 returns
y=(4*1+3)/4
y=7/4
y=
4/7 as a reciprocal
C.H.
