Question

Is 6 15/28 or 6 5/9 bigger?

Answer 1

Answer:6 5/9 is greater than 6 15/28

Step-by-step explanation: positive proper fractions: 15/28, 5/9;

1 positive integer number: 6; Any positive proper fraction is smaller than

any positive integer number Sort the positive proper fractions:

15/28 and 5/9 15/28 already reduced to the lowest terms;

the numerator and the denominator have no common prime factors:

15 = 3 × 5;

28 = 22 × 7;

5/9 already reduced to the lowest terms;

the numerator and the denominator have no common prime factors:

5 is a prime number;

9 = 32; 15 = 3 × 5;

5 is a prime number;

Multiply all the unique prime factors, by the largest exponents:

LCM (15, 5) = 3 × 5 = 15 Divide LCM by the numerator of each fraction:

For fraction: 15/28 is 15 ÷ 15 = (3 × 5) ÷ (3 × 5) = 1;

For fraction: 5/9 is 15 ÷ 5 = (3 × 5) ÷ 5 = 3;  Build up all the fractions to the same numerator (which is LCM).

Multiply the numerators and the denominators by their expanding number:

15/28 = (1 × 15)/(1 × 28) = 15/28;

5/9 = (3 × 5)/(3 × 9) = 15/27;

Answer 2

Answer:

$6 \frac{5}{9}$

is greater than

$6 \frac{15}{28}$