Question

Is 3 13/28 bigger than 3 17/20

Answer 1

Answer: 3 17/20 is bigger than 3 13/28

Explanation:

2 ways:

1) Turn the fractions into decimal form.

13/28 = 0.464

0.464 + 3 = 3.464

17/20 = 0.85

0.85 + 3 = 3.85

2) Check which one is bigger

3.85 is bigger than 3.464 because the tenth place is bigger than the second number.

Second way:

1) Remove the 3s.

Both equations have three, so you could remove both sides three

3 13/28 ? 3 17/20

13/28 ? 17/20

2) Multiply both bottom expressions by itself.

(The numbers that its multiplying equals to 1. When multiplying a number by 1, it stays the same.)

13/28 * 20/20 = 260/560

17/20 * 28/28 = 476/560

3) Compare the fractions

260/560 ? 476/560

260/560 < 476/560

The number in the fraction is bigger

Answer 2

No, 3 ¹³/₂₈ is smaller than 3 ¹⁷/₂₀.

Explanation:

Convert both mixed numbers into improper fractions:

`\implies 3 (13)/(28)=(3 * 28+13)/(28)=(97)/(28)`

`\implies 3 (17)/(20)=(3 * 20+17)/(20)=(77)/(20)`

The lowest common multiple of 28 and 20 is 140.

Therefore, multiply the numerator and denominator of each improper fraction by the same number to make both denominators 140:

`\implies (97 * 5)/(28 * 5)=(485)/(140)`

`\implies (77 * 7)/(20 * 7)=(539)/(140)`

Therefore, as 539 > 485:

`\implies (539)/(140) > (485)/(140)`

`\implies (77)/(20) > (97)/(28)`

`\implies 3 (17)/(20) > 3 (13)/(28)`

Therefore, 3 ¹³/₂₈ is smaller than 3 ¹⁷/₂₀.