Sure, let's work through this step by step.
We are given the equation [tex]\( a \times 60 = b \)[/tex].
We need to find the value of [tex]\( \frac{4b}{a} \)[/tex].
1. Start with the given equation:
[tex]\[ a \times 60 = b \][/tex]
2. Substitute [tex]\( b \)[/tex] in the expression [tex]\( \frac{4b}{a} \)[/tex]:
[tex]\[ b = a \times 60 \][/tex]
3. Substitute [tex]\( b \)[/tex] in the fraction:
[tex]\[ \frac{4b}{a} = \frac{4 \times (a \times 60)}{a} \][/tex]
4. Simplify the expression inside the numerator:
[tex]\[ \frac{4 \times 60a}{a} \][/tex]
5. Factor [tex]\( a \)[/tex] out of the numerator and the denominator:
[tex]\[ \frac{4 \times 60 \times a}{a} = \frac{240a}{a} \][/tex]
6. Cancel the [tex]\( a \)[/tex] terms:
[tex]\[ 240 \][/tex]
So, the value of [tex]\( \frac{4b}{a} \)[/tex] is [tex]\( 240 \)[/tex].
