Express the ratio in its simplest form.
8 furlongs:3 miles,
32 ounces:5pounds,
14 pounds:2 stones,
1760 yards :2 miles.
Please tell me how I convert the quantities in same units.
good heavens!
furlongs and miles, pounds vs stones
this is 2017, not 1817
anyways ....
in ratios, change all units to the same unit
I will do one of them, you do the others
1760 yards : 2 miles
= 1 mile : 2 miles
= 1 : 2
(tell your teacher to update the curriculum, get a new textbook and go metric)
what, no cubits, chains or roods?
To express each ratio in its simplest form, you need to convert all quantities to the same unit. Here is how you can do that for each ratio:
1) 8 furlongs : 3 miles
Since there are 8 furlongs in 1 mile, you can convert 8 furlongs to miles by dividing by 8. So the ratio becomes:
1 mile : 3/8 miles
2) 32 ounces : 5 pounds
Since there are 16 ounces in 1 pound, you can convert 32 ounces to pounds by dividing by 16. So the ratio becomes:
2 pounds : 5 pounds
3) 14 pounds : 2 stones
Since there are 14 pounds in 1 stone, you can convert 14 pounds to stones by dividing by 14. So the ratio becomes:
1 stone : 2/14 stones
4) 1760 yards : 2 miles
Since there are 1760 yards in 1 mile, you can convert 1760 yards to miles by dividing by 1760. So the ratio becomes:
1 mile : 2/1760 miles
Now, to express each ratio in its simplest form, you can simplify the fractions:
1) 1 mile : 3/8 miles
To simplify, you can multiply both the numerator and denominator by 8, which gives you:
8 miles : 3 miles
2) 2 pounds : 5 pounds
This ratio is already in its simplest form.
3) 1 stone : 2/14 stones
To simplify, you can multiply both the numerator and denominator by 14, which gives you:
14 stones : 2 stones
4) 1 mile : 2/1760 miles
To simplify, you can multiply both the numerator and denominator by 1760, which gives you:
1760 miles : 2 miles
So the simplified ratios are:
8 miles : 3 miles
2 pounds : 5 pounds
14 stones : 2 stones
1760 miles : 2 miles