Question

Mensah walked \(\dfrac{1}{3}\) of a km yesterday and \(\dfrac{3}{4}\) of a km today. How many km has mansha walked in total?
1. \(\dfrac{13}{12}\)
2. \(\dfrac{4}{7}\)
3. \(\dfrac{3}{12}\)
4. None of these

Answer 1

Correct Answer - Option 1 : \(\dfrac{13}{12}\)

Given:

Mensah walked 1/3 km yesterday.

Mensah walked 3/4 km today.

Formula used:

d = d₁ + d₂ +......

Where d is total distance and d1 + d2 +...... is the sum of parts of the distance 

Calculation:

According to question,

d = d1 + d2 

⇒ d = (1/3) + (3/4)

LCM of 3 & 4 is 12

⇒ d = {(4 × 1) + (3 × 3)}/12

⇒ d = (4 + 9)/12 

⇒ d = 13/12

∴ Mansha has walked total distance is 13/12 km.