Question

1/4 of which number is equal to4/5 ÷ 1/30​

Answer 1

Answer:

The number that satisfies the given equation is 96.

Step-by-step explanation:

To determine the number that satisfies the given equation, we can set up the equation and solve for the unknown number.

Let's denote the unknown number as "x".

The equation can be written as:

$\frac{1}{4} \times x = \frac{4}{5}$ ÷ $\frac{1}{30}$

To simplify the right side, we can multiply the numerator by the reciprocal of the denominator:

$\frac{1}{4} \times x = \frac{4}{5} \times 30$

Now, we can simplify both sides of the equation:

$\frac{x}{4} = \frac{4}{5} \times 30$

$\frac{x}{4} = \frac{4}{5} \times 30 = \frac{120}{5} = 24$

$\frac{x}{4} =24$

To isolate "x", we can multiply both sides of the equation by 4:

x = 24 × 4

x = 96

Therefore, the number that satisfies the given equation is 96.

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