which is bigger? 11/5,21/8 with full steps
Answers
21/8 is bigger
Explanation:
It is easy because it is like normal numbers like 6 is bigger than 5
Answer:
/5 already reduced to the lowest terms;
the numerator and denominator have no common prime factors:
11 is a prime number;
5 is a prime number;
21/8 already reduced to the lowest terms;
the numerator and denominator have no common prime factors:
21 = 3 × 7;
8 = 23;
>> Reduce (simplify) fractions to their simplest form, online calculator
To sort fractions in ascending order, build up their denominators the same.
Calculate LCM, the least common multiple of the denominators of the fractions.
LCM will be the common denominator of the compared fractions.
In this case, LCM is also called LCD, the least common denominator.
The prime factorization of the denominators:
5 is a prime number
8 = 23
Multiply all the unique prime factors, by the largest exponents:
LCM (5, 8) = 23 × 5 = 40
Step-by-step explanation:
Divide LCM by the denominator of each fraction:
For fraction: 11/5 is 40 ÷ 5 = (23 × 5) ÷ 5 = 8
For fraction: 21/8 is 40 ÷ 8 = (23 × 5) ÷ 23 = 5
Expand the fractions
Build up all the fractions to the same denominator (which is LCM).
Multiply the numerators and denominators by their expanding number:
11/5 = (8 × 11)/(8 × 5) = 88/40
21/8 = (5 × 21)/(5 × 8) = 105/40
The fractions have the same denominator, compare their numerators.