6\frac{1}{2}-\frac{7}{8}\div 5\frac{11}{16}621−87÷51611
1
Convert 6\frac{1}{2}621 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}acb=cac+b
\frac{6\times 2+1}{2}-\frac{7}{8}\div 5\frac{11}{16}26×2+1−87÷51611
2
Simplify 6\times 26×2 to 1212
\frac{12+1}{2}-\frac{7}{8}\div 5\frac{11}{16}212+1−87÷51611
3
Simplify 12+112+1 to 1313
\frac{13}{2}-\frac{7}{8}\div 5\frac{11}{16}213−87÷51611
4
Convert 5\frac{11}{16}51611 to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}acb=cac+b
\frac{13}{2}-\frac{7}{8}\div \frac{5\times 16+11}{16}213−87÷165×16+11
5
Simplify 5\times 165×16 to 8080
\frac{13}{2}-\frac{7}{8}\div \frac{80+11}{16}213−87÷1680+11
6
Simplify 80+1180+11 to 9191
\frac{13}{2}-\frac{7}{8}\div \frac{91}{16}213−87÷1691
7
Use this rule: a\div \frac{b}{c}=a\times \frac{c}{b}a÷cb=a×bc
\frac{13}{2}-\frac{7}{8}\times \frac{16}{91}213−87×9116
8
Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}ba×dc=bdac
\frac{13}{2}-\frac{7\times 16}{8\times 91}213−8×917×16
9
Simplify 7\times 167×16 to 112112
\frac{13}{2}-\frac{112}{8\times 91}213−8×91112
10
Simplify 8\times 918×91 to 728728
\frac{13}{2}-\frac{112}{728}213−728112
11
Simplify \frac{112}{728}728112 to \frac{2}{13}132
\frac{13}{2}-\frac{2}{13}213−132
12
Find the Least Common Denominator (LCD) of \frac{13}{2}, \frac{2}{13}213,132
Method 1: By Listing Multiples
List out all multiples of each denominator, and find the first common one.
Multiples of 2
: 2, 4, 6 ... 22, 24, 26, ...
Multiples of 13
: 13, 26, ...
Therefore, the LCD is 2626.
Method 2: By Prime Factors
Since 2,132,13 are prime numbers themselves, we simply multiply them to get the LCD.
Therefore, the LCD is 2\times 13=262×13=26.
LCD = 2626
13
Make the denominators the same as the LCD
\frac{13\times 13}{2\times 13}-\frac{2\times 2}{13\times 2}2×1313×13−13×22×2
14
Simplify. Denominators are now the same
\frac{169}{26}-\frac{4}{26}26169−264
15
Join the denominators
\frac{169-4}{26}26169−4
16
Simplify
\frac{165}{26}26165
17
Convert to mixed fraction
6\frac{9}{26}6269
Decimal Form: 6.346154
i know this is too long but is your teachers fault am so sorry.
