RiyaTailz3346
17.09.2020 •
Mathematics
What is 1/4+1/3+ 1/6+1/8+1/8
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Ответ:
Must have same denominators
6/24 + 8/24 + 4/24 + 3/24(2)
1
Ответ:
1
Step-by-step explanation: 1 Find the Least Common Denominator (LCD) of \frac{1}{4}, \frac{1}{3}, \frac{1}{6}, \frac{1}{8}, \frac{1}{8}
4
1
,
3
1
,
6
1
,
8
1
,
8
1
.
Method 1: By Listing Multiples
List out all multiples of each denominator, and find the first common one.
Multiples of 4 : 4, 8, 12, 16, 20, 24, ...
Multiples of 3 : 3, 6, 9, 12, 15, 18, 21, 24, ...
Multiples of 6 : 6, 12, 18, 24, ...
Multiples of 8 : 8, 16, 24, ...
Multiples of 8 : 8, 16, 24, ...
Therefore, the LCD is 2424.
Method 2: By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
Prime Factors of 4 : 2, 2
Prime Factors of 3 : 3
Prime Factors of 6 : 2, 3
Prime Factors of 8 : 2, 2, 2
Prime Factors of 8 : 2, 2, 2
Therefore, the LCD is 2\times 2\times 2\times 3=242×2×2×3=24.
LCD = 2424
2 Make the denominators the same as the LCD.
\frac{1\times 6}{4\times 6}+\frac{1\times 8}{3\times 8}+\frac{1\times 4}{6\times 4}+\frac{1\times 3}{8\times 3}+\frac{1\times 3}{8\times 3}
4×6
1×6
+
3×8
1×8
+
6×4
1×4
+
8×3
1×3
+
8×3
1×3
3 Simplify. Denominators are now the same.
\frac{6}{24}+\frac{8}{24}+\frac{4}{24}+\frac{3}{24}+\frac{3}{24}
24
6
+
24
8
+
24
4
+
24
3
+
24
3
4 Join the denominators.
\frac{6+8+4+3+3}{24}
24
6+8+4+3+3
5 Simplify.
\frac{24}{24}
24
24
6. Cancel 2/4 2/4.=
1
Ответ:
A: There is only one solution since the two lines meet up. If it was parallel or the two lines where on top of each other there would be either an infinite amount of solutions or zero.
B:(3,5)
Step-by-step explanation: