Answer:
4 1/2
Explanation:
41−172=?
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(4/1, 17/2) = 2
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(41×22)−(172×11)=?
Complete the multiplication and the equation becomes
82−172=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
8−172=−92
This fraction cannot be reduced.
The fraction
−92
is the same as
−9÷2
Convert to a mixed number using
long division for -9 ÷ 2 = -4R1, so
−92=−412
Therefore:
41−172=−412
Solution by Formulas
Apply the fractions formula for subtraction, to
41−172
and solve
(4×2)−(17×1)1×2
=8−172
=−92
Convert to a mixed number using
long division for -9 ÷ 2 = -4R1, so
−92=−412
Therefore:
41−172=−412