The common denominator
Fractions can only be added or subtracted over a common denominator. The simplest choice is the product of the denominators: 1/2 + 1/3 = (1·3 + 1·2) / 6 = 5/6. The calculator shows that step and reduces the answer straight away.
Multiplying and dividing is easier
To multiply, multiply numerator by numerator and denominator by denominator — no common denominator needed. Division is multiplication by the reciprocal: 1/2 ÷ 3/4 = 1/2 · 4/3 = 2/3.
Reducing by the HCF
A fraction is put into lowest terms by dividing the numerator and denominator by their highest common factor. For 84/126 the HCF is 42, so the fraction reduces to 2/3.