II. A. Find the value of N in simplest form.
1. N / 6 2/3 = 4/15 3. ½ = 9 ½ / N 5. 5/7 x N = 5/14
2. 3 ½ / 6/8 = N 4. N = 8 5/9 / 3 1/3
B. Give the value of N
1. N – 68.547 = 62.341 4. 4.0976 = 0.0335 + N
2. 12.094 - N = 4.023 5. 15.783 = N + 7.082 + 3.81
3. 8.456 = N - 0.87235
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Step-by-step explanation:
2/14 = 1/7. The numerator (2) and denominator (14) are both divided by 2.
In the same way: 2/8 = 1/4
3/24 = 1/8. Here both numerator and denominator are divided by 3.
Sometimes the bottom number does not divide by the top number, but they both divide by some other number. In mathematical terms, this means that they have a common factor.
In such cases, divide both numbers by the common factor until one or both are either prime numbers, or they have no more common factors.
24/60 = 12/30 = 2/5. Divide first by 2 and then by 6.
21/35 = 3/5. Divide by 7.
21/31. Cannot be reduced, as 31 is a prime number so cannot be divided by anything except itself and one.
16/33. Although both numbers have factors, they have no common factor, so this fraction cannot be reduced.