Question

1 streak
0/4 3/4 6/4 9/4 12/4 15/4 18/4 21/4 24/4 27/4 30/4
0 1 2 3 4 5 6 7

1. how many groups of 1/4 are in 7?

□ groups

1. evaluate.

7 ÷ 3/4 = □

Explanation:

Sub - question 1

Step 1: Recall the concept of division for grouping

To find how many groups of a number \(a\) are in a number \(b\), we use division, i.e., we calculate \(b\div a\). Here, we want to find how many groups of \(\frac{1}{4}\) are in \(7\), so we calculate \(7\div\frac{1}{4}\).

Step 2: Use the rule of dividing by a fraction

The rule for dividing by a fraction \(\frac{c}{d}\) is to multiply by its reciprocal \(\frac{d}{c}\). So, \(7\div\frac{1}{4}=7\times\frac{4}{1}\).

Step 3: Calculate the product

\(7\times\frac{4}{1} = 28\).

Step 1: Recall the rule for dividing by a fraction

When dividing a number by a fraction \(\frac{a}{b}\) (where \(a
eq0\) and \(b
eq0\)), we multiply the number by the reciprocal of the fraction. So, for \(7\div\frac{3}{4}\), the reciprocal of \(\frac{3}{4}\) is \(\frac{4}{3}\).

Step 2: Multiply the number by the reciprocal

We calculate \(7\times\frac{4}{3}\).

Step 3: Perform the multiplication

\(7\times\frac{4}{3}=\frac{7\times4}{3}=\frac{28}{3}=9\frac{1}{3}\) (or as an improper fraction \(\frac{28}{3}\)).

Answer:

28

Sub - question 2