Answer: see below
Step-by-step explanation:
1.
Facts:
Justin jogs 3 2/3 miles every morning
Jogs 4 6/10 miles every evening.
Miles jogged per day=?
To solve this question,add the 2 fractions.This makes sense because let's say you ran 3 miles in the morning and 2 miles in the evening, nothing more nothing less, and you wanted to find how much you ran in a day, you'd add these 2 nummbers.
3 2/3 + 4 6/10
Step 1: Add the whole numbers
3 2/3 + 4 6/10
3+4= 7
7 + 2/3 + 6/10
Step 2: Find a common denominator between 10 and 3
10x1= 10
10x2= 20
10x3= 30 (works for both 3 and 10)
7 + __ + __
30 30
Step 3: Change the neumerators
Now when adding fractions this way, you have to multiply and change the neumerator:
In the 1st fraction, the original denominator was 3. And 3x10= 30, right? So you must also multiply the neumerator by 10 so that they are equivalent to each other
2x10= 20
In fraction #2, the neumerator was 6. 6x3= 18
7 + 20 + 18
30 30
7+38/30= 7 38/30= 8 8/30 miles per day
QUSTIION 2
Facts:
Last year, the tree was 5 11/12 feet long.
This year, the tree is 7 2/3 feet long.
How many feet did it grow?
Convert to decimals and subtract:
7 2/3= 7.66667
5 11/12= 5.9166667
7.66667- 5.916667= about 1.75, which becomes 1 3/4
It grew 1 3/4 feet
