Question

simplify the following​

Answer 1

Answer:

43

Step-by-step explanation:

Given : ${\sf 5 {\dfrac{5}{6}} × 6 {\dfrac{3}{7}} + 5 {\dfrac{1}{2}}}$

On simplifying, we get

→ ${\sf{\dfrac{6 × 5 + 5}{6}} \times {\dfrac{7 × 6 + 3}{7}} + {\dfrac{2 × 5 + 1}{2}}}$

→ ${\sf{\dfrac{35}{6}} × {\dfrac{45}{7}} + {\dfrac{11}{2}}}$

→ ${\sf{\dfrac{5 }{2}} × 15 + {\dfrac{11}{2}}}$

→ ${\sf{\dfrac{75}{2}} + {\dfrac{11}{2}}}$

→ ${\sf{\dfrac{86}{2}}}$

→ 43

Answer 2

Given :-

$\sf \left(5 \frac{5}{6} \times 6 \frac{3}{7} \right) + 5 \frac{1}{2}$

here, the fractions are in mixed fractions. so first of all, we've to convert them in proper fractions.

• 5 5/6 = (5 × 6 + 5)/6 = 35/6

• 6 3/7 = (6 × 7 + 3)/7 = 25/7

• 5 ½ = (5 × 2 + 1)/2 = 11/2

➡ (35/6 × 45/7) + 11/2

by taking common 3 in 6 and 45 and 7 in 35 and 7, we get

= (5/2 × 15) + 11/2

= 75/2 + 11/2

now, the denominators of both the fractions are same. so no need to take their LCM.

= (75 + 11)/2

= 86/2

= 43 final answer