Which of the following fractions is less than 1/3
(a) 22/62 (b) 15/46 (c) 2/3 (d) 1
Answers
Fraction 15/46 is less than 1/3 from the given options.
Given:
- Fraction 1/3
To Find:
- fractions is less than 1/3 from the given options
- (a) 22/62
- (b) 15/46
- (c) 2/3
- (d) 1
Solution:
create equivalent fractions :
By dividing or multiplying the numerator and denominator of a given fraction by the same number except zero
a/ b = ak/bk k ≠ 0
a/b = (a/k) / (b/k) k ≠ 0
Step 1:
Compare 1/3 and 22/62
1/3 = 62/ (3 x 62) = 62/186
22/62 = 22 x 3/(62 x 3) = 66/186
66 > 62
Hence 22/62 > 1/3
Step 2:
Compare 1/3 and 15/46
1/3 = 46/ (3 x 46) = 46/186
15/46 = 15 x 3/46 x 3) =45/138
45 < 46
Hence 15/46 < 1/3
Step 3:
Compare 1/3 and 2/3
2 > 1
Hence 2/3 > 1/3
Step 4:
Compare 1/3 and 1
1 = 3/3
3 > 1
Hence 1 > 1/3
Hence, 15/46 < 1/3
Fraction 15/46 is less than 1/3
Correct option is b)
Learn More:
Write the fractions and pair up the equivalent fractions from each row
brainly.in/question/5451929
find the equivalent fraction of 56/70 with (I) numerator 4 (ii ...
brainly.in/question/12231577