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Phantasy [73]
3 years ago
8

What is the answer to 2 3/8 ÷ 1 1/4

Mathematics
2 answers:
OLEGan [10]3 years ago
7 0
2\frac{3}{8} ÷ 1\frac{1}{4} equals 1\frac{9}{10}.

First, convert 2 \frac{3}{8} to improper fraction. Use this rule: a \frac{b}{c} = \frac{ac+b}{c}. Your problem should look like: \frac{2x8+3}{8} ÷ 1\frac{1}{4}.
Second, simplify 2 x 8 to get 16. Your problem should look like: \frac{16+3}{8} ÷ 1 \frac{1}{4}.
Third, simplify 16 + 3 to get 19. Your problem should look like: \frac{19}{8} ÷ 1 \frac{1}{4}.
Fourth, convert 1\frac{1}{4} to improper fraction. Use the same rule as earlier. Your problem should look like: \frac{19}{8} ÷ \frac{4+1}{4}.
Fifth, simplify 4 + 1 to get 5. Your problem should look like: \frac{19}{8} ÷ \frac{5}{4}.
Sixth, apply this rule: a ÷ \frac{b}{c} = a × \frac{c}{b}. Your problem should look like: \frac{19}{8} × \frac{4}{5}.
Seventh, apply this rule: \frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}. Your problem should look like: \frac{19x4}{8x5}.
Eighth, simplify 19 × 4 to get 76. Your problem should look like: \frac{76}{8x5}.
Ninth, simplify 8 × 5 to get 40. Your problem should look like: \frac{76}{40}.
Tenth, simplify. Your problem should look like: \frac{19}{10}.
Eleventh, convert to mixed fraction. Your problem should look like: 1 \frac{9}{10} which is the answer.

Answer as mixed number form: 1\frac{9}{10}.
Answer as exact form: \frac{19}{10}.
Answer as decimal form: 1.9.


antiseptic1488 [7]3 years ago
5 0
((2 3/8)/11)/4 and that would equal 0.053977272
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Answer: hypotenuse = c^{2} + b^{2}

Step-by-step explanation: Pythagorean theorem states that square of hypotenuse (h) equals the sum of squares of each side (s_{1},s_{2}) of the right triangle, .i.e.:

h^{2} = s_{1}^{2} + s_{2}^{2}

In this question:

s_{1} = c^{2}-b^{2}

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Substituing and taking square root to find hypotenuse:

h=\sqrt{(c^{2}-b^{2})^{2}+(2bc)^{2}}

Calculating:

h=\sqrt{c^{4}+b^{4}-2b^{2}c^{2}+(4b^{2}c^{2})}

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c^{4}+b^{4}+2b^{2}c^{2} = (c^{2}+b^{2})^{2}, then:

h=\sqrt{(c^{2}+b^{2})^{2}}

h=(c^{2}+b^{2})

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