What is the answer to (21/2}{31/3}=\frac{y/(41))/4 ?

The answer to (21/2}{31/3}=\frac{y/(41))/4 is y= 5166/31

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(21/2}{31/3}=\frac{y/(41))/4

\frac{\frac{21}{2}}{\frac{31}{3}} = \frac{\frac{y}{41}}{4}

y = \frac{5166}{31}

Decimal Notation

y = 166.64516 \dots

Solution steps

\frac{\frac{21}{2}}{\frac{31}{3}} = \frac{\frac{y}{41}}{4}

Switch sides

\frac{\frac{y}{41}}{4} = \frac{\frac{21}{2}}{\frac{31}{3}}

Divide fractions:

\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a \cdot d}{b \cdot c}

\frac{\frac{y}{41}}{4} = \frac{21 \cdot 3}{2 \cdot 31}

Multiply the numbers:

2 \cdot 31 = 62

\frac{\frac{y}{41}}{4} = \frac{21 \cdot 3}{62}

Multiply the numbers:

21 \cdot 3 = 63

\frac{\frac{y}{41}}{4} = \frac{63}{62}

Multiply both sides by

4

\frac{y}{41} = \frac{126}{31}

Multiply both sides by

41

y = \frac{5166}{31}

x, 101 x + 3 y = 1

x, 3 x + 3 \frac{y}{4} = - 12

25 - 15 = 4 x - 10

x, 4 x + 2 y + 1 = 0

x, 0.65 x + 0.9 y = 50

What is the answer to (21/2}{31/3}=\frac{y/(41))/4 ?
The answer to (21/2}{31/3}=\frac{y/(41))/4 is y= 5166/31
Solve for y: (21/2}{31/3}=\frac{y/(41))/4
The solution is y= 5166/31