How do you evaluate $\frac{1}{6 + \frac{1}{8}}$ $\frac { 1} { 6+ \frac { 1} { 8} }$ ?

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How do you evaluate $\frac{1}{6 + \frac{1}{8}}$ $\frac { 1} { 6+ \frac { 1} { 8} }$ ?

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Answer 1 · 2017-03-18T11:45:45

$\frac{8}{49}$ $8/49$

Explanation:

$Note 6 + \frac{1}{8} = 6 \frac{1}{8} as a mixed number$ $color(blue)"Note "6+1/8=6 1/8" as a mixed number"$

$\frac{1}{6 \frac{1}{8}} means 1 \div 6 \frac{1}{8}$ $1/(6 1/8)" means " 1-:6 1/8$

To divide by $6 \frac{1}{8}$ $6 1/8$ convert it into an $color(blue)"improper fraction"$ ,

$color(blue)" change divide to multiply"$ and $color(blue)"invert"$ (turn upside down the improper fraction.)

$rArr6 1/8=49/8" as an improper fraction"$

$rArr1-:49/8=1xx8/49=8/49$

Answer 2 · 2017-03-18T11:49:36

$8/49$

Explanation:

$1/(6+1/8)$

$:.=1/(6 1/8)$

$:.=1/(49/8)$

$:.=1/1 xx 8/49$

$:.=8/49$

check:

$1/8=0.125+6=6.125$

$1-:6.125=0.163265306$

$8/49=0.163265306$

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2 Answers

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