<span>Last week, Rosa ran 6 1/4 laps around the lake. Clara ran 1/5 as many laps around the lake as Rosa did. How many laps around the lake did Clara run?</span>
Let x be the yard length, then if <span>the length of the yard is 10 feet more than 2 times the width, the length of the yard is 2x+10. The perimeter is 2 lengths + 2 widths, so P=2x+2(2x+10) .
</span>
Since Sally <span>needs 56 feet of fencing to do the job, P=56 ft. and
</span>
<span>2x+2(2x+10)=56,
</span><span>
</span><span>2x+4x+20=56,
</span><span>
</span><span>6x=56-20,
</span><span>
</span><span>6x=36,
</span><span>
</span><span>x=6 ft. and 2x+10=12+10=22 ft.
</span><span>
</span><span>Answer: The length of the yard is 22 feet</span>
Multiples of 3
: 3, 6, 9, 12, 15, 18, 21, 24, ...
Multiples of 4
: 4, 8, 12, 16, 20, 24, ...
Multiples of 8
: 8, 16, 24, ..
2
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 2424
Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 3
: 3
Prime Factors of 4
: 2, 2
Prime Factors of 8
: 2, 2, 2
2
Find the union of these primes.
2,2,2,32,2,2,3
3
Multiply these numbers: 2\times 2\times 2\times 3=242×2×2×3=24. This is the LCM.
LCM = 2424
8/10 is equivalent to 4/5.
So now do 8÷10=0.8
4/5 also equals to 0.8
just do 4/5=0.8
As a general rule, a percentage can be converted to a decimal fraction by dividing the given percentage by 100%.
63 1/3% is equivalent to 190/3% . Dividing this by 100%, we get 190/300, or 19/30.
63 1/3% of 60 is what? To determine this, multiply 60 by 19/30. That comes out to (60)(19)/30, or 2(19), or 38 (answer).
