write the following fractions in increasing order 45/44 5/4/and 8/13
The easiest way is to divide the numerator by the denominator and change to a decimal.
Grds
Mandal
To order fractions in increasing order, we need to compare the numerators (the numbers on top) while keeping the denominators (the numbers on the bottom) the same.
Let's compare 45/44, 5/4, and 8/13:
First, let's focus on the denominators, which are 44, 4, and 13.
To make it easier to compare, let's find a common denominator for all the fractions. The lowest common multiple (LCM) of 44, 4, and 13 is 572.
Now, let's convert each fraction so they all have a denominator of 572.
For 45/44, we can multiply both the numerator and the denominator by 13 to get: (45 * 13) / (44 * 13) = 585/572.
For 5/4, we can multiply both the numerator and the denominator by 143 to get: (5 * 143) / (4 * 143) = 715/572.
For 8/13, since the denominator is already 13, we don't need to do anything.
Now we have the fractions: 585/572, 715/572, and 8/13.
To compare them, we look at the numerators:
585/572, 715/572, and 8/13.
It's clear that 8/13 is the smallest fraction.
Comparing 585/572 and 715/572, the smaller numerator (585) belongs to the smallest fraction, so 585/572 is the next smallest.
Finally, 715/572 has the largest numerator, making it the largest fraction.
Therefore, the fractions in increasing order are:
8/13, 585/572, 715/572.