Q:

Plz solve using a bar model and will mark brainliest whoever’s correct with reasonable work

Accepted Solution

A:
You just need to do 12 1/5 ÷ 1 4/5.
To do this, first convert both fractions to improper fractions or topheavy fractions.

12 1/5 -
15 × 5 is 60, 60 + 1 is 61 so 12 1/5 = 61/5

1 4/5 -
1 × 5 is 5 and 5 + 4 is 9. 1 4/5 = 9/5

To divide fractions, you do keep, chang, flip (keep the 1st fraction, change the ÷ to ×, and flip the 2nd fraction)

the question starts as 61/5 ÷ 9/5 and becomes 61/5 × 5/9

multiplication in fractions is literally just numerator × numerator / denominator × denominator.

61 × 5 is 305. 5 × 9 is 45. the fraction is 305/45.

however, we need a whole number. 305/45 converted into a decimal is 6.7777778 (6.7 recurring). obviously you can't put a fraction of a book onto a shelt, so you round it down to the nearest whole number, which is 6.

final answer: 6