Which of these sums is exactly equal to 1?

Class 6FractionsFractions

A $\frac{2}{5} + \frac{2}{5}$
B $\frac{1}{3} + \frac{1}{2}$
C $\frac{3}{7} + \frac{4}{7}$
D $\frac{5}{8} + \frac{2}{8}$

Step-by-Step Solution

A sum makes exactly one whole when the numerators add up to the denominator:

\frac{3}{7} + \frac{4}{7} = \frac{7}{7} = 1

. The others give

\frac{4}{5}, \frac{5}{6}

(rewrite as

\frac{2}{6} + \frac{3}{6}

) and

\frac{7}{8}

— all a little short of a whole.

Answer: C)

\frac{3}{7} + \frac{4}{7}

Key idea: Reading a fraction

A fraction a/b says: the whole is split into b equal parts, and we are talking about a of them. So 3/8 means: divide the whole into 8 equal parts, take 3 of them. The two equal parts is what makes it a fraction — three slices of an unevenly cut cake do not give you 3/8. The denominator must always be a positive whole number. The numerator can be 0, equal to the denominator (giving 1), greater than the denominator, or less than it.

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Fractions practice questions

More Class 6 Fractions practice

Sneha filled 1/3 of the pages of her project file on the first day and 2/9 of them on…A fruit seller in Indore had 84 guavas and sold 5/12 of them by noon. How many guavas…A Class 6 section collected ₹450 for a plantation drive and spent 2/9 of it on saplings.…A cricket match was scheduled for 3 hours. Rain stopped play for 1/6 of that time. For…Assertion (A): 1/3 + 1/6 = 2/9. Reason (R): Unlike fractions must first be rewritten…