Question

which number is bigger 6/7 or 5/6​

Answer 1

Answer:

6/7

Step-by-step explanation:

Answer 2

$\pink{ \rule{7cm}{0cm}}$

${ \bf \bold {Given}}\begin{cases}</p><p>{\bf \frac{6}{7} \: or \: \frac{5}{6} }</p><p>\end{cases}</p><p>$

${ \bf \bold {Find}}\begin{cases}</p><p></p><p>{{\bf \bold {Which \: number \: is \: bigger}}}</p><p></p><p>\end{cases}</p><p>$

$\pink{ \rule{7cm}{0cm}}$

${{ \bf \bold {Solution \downarrow}}}$

$\fbox { \bf First method} \downarrow$

${\bf \frac{6}{7} \: or \: \frac{5}{6}}$

$\bf{First \: we \: have \: to \: take \: the \: L.C.M \: of \: both}$${\bf denominators \: \downarrow}$

$\begin{array}{r | l}</p><p></p><p>2 & 7 \: , \: 6 \\</p><p></p><p>3& 7 \: , \: 3 \\</p><p></p><p>7 & 7 \: , \: 1\\</p><p></p><p> & 1</p><p></p><p>\end{array}$

$\qquad \qquad \longmapsto{2 × 3 × 7 }$

$\qquad \qquad \longmapsto{42 }$

${\bf \frac{6}{7}} \: \leadsto \: {\bf \frac{6 \times 6}{7 \times 6}} \: = \: { \bf\frac{36}{42}}$

${\bf \frac{5}{6}} \: \leadsto \: {\bf \frac{5 \times 7}{6 \times 7}} \: = \: { \bf\frac{35}{42}}$

${ \bf\frac{36}{42}} \: \boxed> \: { \bf\frac{35}{42}} \: \: \: \: \bf{or }\: \: \: { \bf\frac{6}{7}} \: \boxed> \: { \bf\frac{5}{6}}$

$\therefore \: { \bf\frac{6}{7}} \:{ \bf is \: bigger \: than} \: { \bf\frac{5}{6}}$

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${{ \bf \bold {Solution \downarrow}}}$

$\fbox { \bf </h2><h2>Second method} \downarrow$

${\bf \frac{6}{7} \: or \: \frac{5}{6}}$

$\bf{First \: we \: have \: to \: take \: the \: cross}$$\bf {multiplication \: of} \: {\bf \frac{6}{7} \: or \: \frac{5}{6}} \downarrow$

$\huge{\bf \frac{6}{7} \: ×   \: \frac{5}{6}}$

$6 \times 6 \: = \: 7 \: \times 5$

$36 \: > \: 35$

${\bf \frac{6}{7} \: > \: \frac{5}{6}}$

$\therefore \: { \bf\frac{6}{7}} \:{ \bf is \: bigger \: than} \: { \bf\frac{5}{6}}$

$\red{ \rule{7cm}{0cm}}$