Rename each mixed number in simplest term

1.1 7/5
2.5 10/6

1 7/5 = 2 2/5

5 10/6 = 6 4/6 = 6 2/3

1 7/5=1+7/5= 5/5 + 7/5 = 12/5= (10+2)/5 = 10/5 + 2/5 = 2 2/5= 2+(2*2)/(5*2)=2+4/10=2.4

5 10/6=50*6/6 + 10/6 = 30/6 + 10/6 = 40/6 = 36/6 + 4/6 = 5 + 4/6 = 6+(2*2)/(2*3) = 6 + 2/3 = 6.6666666

To rename a mixed number in its simplest form, you need to simplify the fractional part of the mixed number. Here's how you can do it:

1. 1.1 7/5:
1. First, convert the whole number part back into an improper fraction. Since the whole number part is 1, the improper fraction equivalent is 1/1.
2. Now, add the improper fraction to the fractional part. To do this, multiply the denominator (5) by the whole number part (1) and add the numerator (7). This gives you 5(1) + 7 = 12.
3. Write the sum from step 2 over the original denominator. The resulting fraction is 12/5.
4. Simplify the fraction if possible. In this case, 12/5 is already in its simplest form since there are no common factors between the numerator and denominator.

So, 1.1 7/5 in its simplest form is just 12/5.

2. 2.5 10/6:
1. Convert the whole number part (2) into an improper fraction. This gives you 2/1.
2. Multiply the denominator (6) by the whole number part (2) and add the numerator (10). This gives you 6(2) + 10 = 22.
3. Write the sum from step 2 over the original denominator. The resulting fraction is 22/6.
4. Simplify the fraction if possible. In this case, both the numerator and denominator have a common factor of 2. Divide both the numerator and denominator by 2 to get the simplified fraction: 22/6 = 11/3.

So, 2.5 10/6 in its simplest form is 11/3.